prof. dr. sc. Ana Vukelić
Kabinet za matematiku, fiziku i informatiku
Radno mjesto:
redoviti profesor u trajnom zvanju
Funkcija:
Pročelnik
Zavod / Katedra:
Kabinet za matematiku, fiziku i informatiku
Godina diplomiranja:
1997.
Godina magistriranja:
2000.
Godina doktoriranja:
2003.
Na sveučilištu od:
2001.
Lokacija:
1. kat, soba 72
Telefon:
+385 1 4605 020
E-mail:
E-mail
Životopis
Datum rođenja: 17. kolovoza 1973.
Mjesto rođenja: Skopje, Sj. Makedonija
Školovanje:
- diplomirala: Sveučilište u Zagrebu PMF-Matematički odsjek, diplomirani inženjer matematike, smjer - primijenjena matematika i informatika (travanj 1997.)
- magistrirala: Sveučilište u Zagrebu PMF-Matematički odsjek, magistar iz područja prirodnih znanosti, polje matematika (srpanj 2000.)
- doktorirala: Sveučilište u Zagrebu PMF-Matematički odsjek, doktor iz područja prirodnih znanosti, polje matematika (lipanj 2003.)
Znanstvena djelatnost:
- Radovi indeksirani prema WoSCC: 37
- Radovi indeksirani u sekundarnim publikacijama: 18
- Stručni radovi: 4
- Radovi u domaćim i međunarodnim zbornicima: 3
- Poglavlja u knjizi: 2
- Knjige i udžbenici: 1
- Sudjelovanje na znanstvenim skupovima u zemlji i inozemstvu: 19
Nastava
Prijediplomski
- Numeričke metode i programiranje (32418) — Nositelj, Seminar, Vježbe u praktikumu
- Numeričke metode i programiranje (252773) — Nositelj, Seminar, Vježbe u praktikumu
- Osnove informatike (24091) — Nositelj, Vježbe u praktikumu
- Osnove informatike (24116) — Nositelj, Vježbe u praktikumu
- Osnove informatike (37961) — Nositelj, Vježbe u praktikumu
- Osnove informatike (239331) — Nositelj, Vježbe u praktikumu
- Osnove informatike (239470) — Nositelj, Vježbe u praktikumu
- Osnove informatike (240347) — Nositelj, Vježbe u praktikumu
- Statistika (32168) — Nositelj, Auditorne vježbe, Vježbe u praktikumu
- Statistika (252795) — Nositelj
- Praksa i završni rad (39868) — Laboratorijske vježbe
Diplomski
- Numeričke metode i programiranje (razlikovni predmet) (121011) — Nositelj, Seminar, Vježbe u praktikumu
- Numeričke metode i programiranje (razlikovni predmet) (258552) — Nositelj, Seminar, Vježbe u praktikumu
- Primijenjena analiza podataka (66790) — Nositelj, Seminar, Vježbe u praktikumu
- Primijenjena analiza podataka (239621) — Nositelj, Seminar, Laboratorijske vježbe
- Diplomski rad (66883) — Laboratorijske vježbe
Doktorski
- Planiranje i analiza eksperimenata (165660) — Nositelj
Konzultacije
Prema dogovoru
Izabrane publikacije
M. Matić, J. Pečarić, A. Vukelić, On generalization of Bullen-Simpson's 3/8 inequality, Math. Comput. Model. 41 (2005), 463-483.
J. Pečarić, A. Vukelić, Montgomery's identities for function of two variables, J. Math. Anal. Appl. 332(1) (2007), 617-630.
S. Kovač, J. Pečarić, A. Vukelić, A generalization of general two-point formula with applications in numerical integration, Nonlinear Anal. – Theory Methods Appl. 68(8) (2008), 2445-2463.
J. Pečarić, M. Ribičić Penava, A. Vukelić, Bounds for the Chebyshev functional and applications to the weighted integral formulae, Appl. Math. Comput. (2015), DOI: doi:10.1016/j.amc.2015.07.004
Saad Ihsan Butt, J. Pečarić, A. Vukelić, Generalization of Popoviciu-Type Inequalities Via Fink’s Identity, Mediterr. J. Math. (2015), DOI: 10.1007/s00009-015-0573-8
G. Aras-Gazić, J. Pečarić, A. Vukelić, Integral error representation of Hermite interpolating polynomial and related inequalities for quadrature formulae, Math. Model. Anal. 21(6) (2016) 836-851, DOI: 10.3846/13926292.2016.1247755
A. Vukelić, On Levinson's inequality involving averages of 3-convex functions, Appl. Anal. Discrete Math. 14 (2020), 670–684.
S. Kovač, A. Vukelić, Companion to the Ostrowski-Gruss-Type Inequality of the Chebyshev Functional with an Application, Mathematics 10(5) (2022), Article 735.
G. Aras-Gazić, J. Pečarić, A. Vukelić, On generalization of Levinson's inequality involving averages of 3-convex functions, J. Inequal. Appl. 2023(1), Articla number 117, DOI: 10.1186/s13660-023-03028-7
Profesionalni interesi i članstva
Hrvatsko matematičko društvo
Izabrani projekti
Teaching mathematics in STEM context for STEM students, Erasmus+ – Ključna aktivnost 2 za područje visokog obrazovanja, 2019. – 2022., voditelj
Girls go STEM, Erasmus+ - Ključna aktivnost KA220-HED – Suradnička partnerstva u visokom obrazovanju, 202-2024., voditelj
AI tools for teaching and learning in VET, Erasmus+ - Ključna aktivnost 210 za područje strukovnog obrazovanja i osposobljavanja, 2025.-2026., voditelj
Family Engagement in STEAM, Erasmus+ - Ključna aktivnost KA220-SCH za područje odgoja i općeg obrazovanja, 2025.-2027., partner
Povijest zaposlenja
- informatičar / Sveučilišni računski centar - SRCE Zagreb / ožujak 2000. - veljača 2001.
- asistentica / Sveučilište u Zagrebu Prehrambeno-biotehnološki fakultet / veljača 2001. - rujan 2003.
- viša asistentica / Sveučilište u Zagrebu Prehrambeno-biotehnološki fakultet / rujan 2003. - siječanj 2006.
- docentica / Sveučilište u Zagrebu Prehrambeno-biotehnološki fakultet / siječanj 2006. - prosinac 2009.
- izvanredna profesorica / Sveučilište u Zagrebu Prehrambeno-biotehnološki fakultet / prosinac 2009. - svibanj 2015.
- redovita profesorica / Sveučilište u Zagrebu Prehrambeno-biotehnološki fakultet / svibanj 2015. - rujan 2020.
- redovita profesorica u trajnom izboru / Sveučilište u Zagrebu Prehrambeno-biotehnološki fakultet / rujan 2020.
- prodekanica za nastavu / Sveučilište u Zagrebu Prehrambeno-biotehnološki fakultet / listopad 2021. - svibanj 2023.
- obnašateljica dužnosti prodekana za nastavu / Sveučilište u Zagrebu Prehrambeno-biotehnološki fakultet Sveučilište u Zagrebu / svibanj 2023. - svibanj 2024.
Znanstvene publikacije
-
Bullen–Simpson–Mercer type inequalities
Open Mathematics, 24 (2026) 20250233, 21, doi: 10.1515/math-2025-0233
-
On Lah-Ribarič Inequality Involving Averages of Convex Functions
Iranian journal of mathematical sciences and informatics, 19 (2024) str. 1-12
-
On generalization of Levinson’s inequality involving averages of 3-convex functions
Journal of inequalities and applications, 2023 (2023) 117, 9, doi: 10.1186/s13660-023-03028-7
-
Generalizations of Steffensen's inequality by Lidstone's polynomial and related results
Book of Abstracts 7th Croatian mathematical Congress,Redak, (2022) str. 101-101
-
Companion to the Ostrowski–Grüss-Type Inequality of the Chebyshev Functional with an Application
Mathematics, 10 (2022) 735, 10
-
Generalizations of Steffensen's inequality by interpolating polynomials
8th European Congress of Mathematics Book of Abstracts,Univerza na Primorskem, (2021) str. 694-694
-
On Levinson's inequality involving averages of 3- convex functions
Applicable Analysis and Discrete Mathematics, 14 (2020) str. 670-684, doi: 10.2298/aadm190221045v
-
Generalizations of Steffensen’s inequality by Lidstone’s polynomial and related results
Quaestiones Mathematicae, 43 (2020) str. 293-307, doi: 10.2989/16073606.2018.1539048
-
Aproximating f-difergence via Hermite interpolating polynomial
Inequalities and Zipf-Mandelbrot Law,Element, (2019) str. 45-60
-
Povezanost školskog uspjeha i vladanja s parametrima kvalitete prehrane
(2019)
-
Generalization of Popoviciu type inequalities via Fink's identity
International Conference Algebra and Analysis with Application,Sojuz na istražuvači na Makedonija, (2018) str. 20-20
-
Interpolating polynomials and derived inequalities for convex functions
Mathematical Inequalities and Applications 2018, Book of Abstracts, (2018) str. 18-18
-
Refinements of the majorization-type inequalities via Green and Fink identities and related results
Mathematica slovaca, 68 (2018) str. 773-788, doi: 10.1515/ms-2017-0144
-
Refeniments of the majorization-type inequalities via Green and Fink identities and related results
Mathematical Inequalities and applications 2018,Element, (2018) str. 74-74
-
On Levinson's inequality involving averages of 3- convex functions
MICOPAM 2018,Akdeniz University, (2018) str. 64-64
-
Usklađenost tjelesne konstitucije i prehrane s obzirom na ayurvedske principe
(2017)
-
Generalization of Jensen's and Jensen- Steffensen's inequalities and their converses by Lidstone's polynomial and majorization theorem
Journal of Numerical Analysis and Approximation Theory, 46 (2017) str. 6-24
-
Generalization Of Popoviciu type inequalities via Green's function and Fink's identity
Mathematical inequalities & applications, 19 (2016) str. 1247-1256
-
Interpolacijski polinomi i izvedene nejednakosti za konveksne funkcije višeg reda
(2016)
-
Cauchy’s error representation of Hermite interpolating polynomial and related results
Mathematical inequalities & applications, 19 (2016) str. 1349-1362
-
Some Gr\"uss type inequalities and corrected three-point quadrature formulae of Euler type
International Conference Mathematics: Applied,Sojuz na istražuvači na Makedonija, (2016) str. 20-20
-
Integral error representation of Hermite interpolating polynomial and related inequalities for quadrature formulae
Mathematical Modelling and Analysis, 21 (2016) str. 836-851, doi: dx.doi.org/10.3846/13926292.2016.1247755
-
Generalization of Jensen's inequality by Euler's identity and related results
6th Croatian Mathematical Congress, (2016) str. 3-4
-
Generalization of Popoviciu-Type Inequalities Via Fink’s Identity
Mediterranean journal of mathematics, 13 (2016) str. 1495-1511, doi: 10.1007/s00009-015-0573-8
-
Generalization of Jensen's and Jensen- Steffensen's inequalities and their converses by Hermite's polynomial and majorization theorem
Advanes in Mathematis: Scientific Journal,Advances in Mathematics, 5 (2016) str. 191-209
-
Generalization of Jensen's inequality by Hermite polynomials and related results
Mathematical reports,Mathematical Reports, 17 (2015) str. 201-223
-
Cauchy's error representation of Lidstone interpolating polynomial and related results
Journal of mathematical inequalities, 9 (2015) str. 1207-1225, doi: 10.7153/jmi-09-93
-
Bounds for the Chebyshev functional and applications to the weighted integral formulae
Applied mathematics and computation, 268 (2015) str. 957-965, doi: 10.1016/j.amc.2015.07.004
-
Refinements of the majorization theorems via Fink identity and related results
Journal of classical analysis, 7 (2015) str. 129-154, doi: 10.7153/jca-07-12
-
Some Grüss type inequalities and corrected three-point quadrature formulae of Euler type
Journal of inequalities and applications, 2015 (2015) 76, 14, doi: 10.1186/s13660-015-0603-X
-
Some inequalities for the Čebyšev functional and Euler two-point formulae
Journal of mathematical inequalities, 9 (2015) str. 1195-1205, doi: 10.7153/jmi-09-92
-
Harmonic polynomials and generalizations of Ostrowski-Grüss type inequality and Taylor formula
Journal of Mathematical Inequalities,Journal of mathematical inequalities, 9 (2015) str. 297-319, doi: 10.7153/jmi-09-25
-
Bounds for the Chebyshev Functional and Applications to the Weighted Integral Formulae
Applied Mathematics & Approximation Theory - AMAT 2015,TOBB University of Economics and Technology, (2015) str. 16-16
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Generalization of Jensen's Inequality and its Converses by Lidstone's Polynomial and Majorization Theorem
Applied Mathematics & Approximation Theory - AMAT 2015,TOBB University of Economics and Technology, (2015) str. 39-39
-
Hermite interpolating polynomial and derived inequalities for the higher order convex function
11-th International Symposium on Geometric Function Theory and Applications,Univerzitet Sv. Kiril i Metodij u Skopju, (2015) str. 54-54
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Integral Error Representation of Hermite Interpolating Polynomial and Related Inequalities
Mathematical inequalities and application 2015 (MIA 2015),Faculty of Science and Education, University of Mostar, Bosnia and Herzegovina, (2015) str. 75-75
-
Generalization of Jensen's inequality by Abel- Gontscharoff interpolating polynomial and related results
Book of Abstracts of the conference Mathematical Inequalities and Applications 2015,Faculty of Science and Education, University of Mostar, (2015) str. 32-32
-
New estimations of the remainder in three-point quadrature formulae of Euler type
Journal of mathematical inequalities, 9 (2015) str. 1143-1156, doi: 10.7153/jmi-09-87
-
Generalization of Jensen's and Jensen- Steffensen's inequalities and their converses by Hermite polynomials and majorization theorem
Book of Abstracts of the conference Mathematical Inequalities and Applications 2015,Faculty of Science and Education, University of Mostar, (2015) str. 21-21
-
Generalization of Jensen's inequality by Euler's identity and related results
Advanced Studies in Contemporary Mathematics, 24 (2014) str. 247-268
-
Some inequalities for the Čebyšev functional and general four-point quadrature formulae of Euler type
Matematički bilten, 38 (2014) str. 69-80
-
Cauchy's error representation of Lidstone interpolating polynomial and related results
Mathematical Inequalities and Applications 2014, One Thousand Papers Conference, Book of Abstracts,Element, (2014) str. 23-23
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Generalisations of Steffensen's inequality via Fink identity and related results II
Rendiconti dell'Istituto di Matematica dell'Universita di Trieste, 47 (2014) str. 221-239, doi: 10.13137/0049-4704/11796
-
Generalization of Jensen's inequality by Hermite polynomials and related results
Conference on inequalities and applications’14 : Book of Abstracts,Institut of Mathematics University of Debrecen, (2014) str. 7-7
-
Some inequalities for the Čebyšev functional and general four-point quadrature formulae of Euler type
V Congress of Mathematicians of Macedonia,Matematički bilten, Union of Mathematicians of Macedonia, (2014) str. 87-87
-
Some inequalities for the Čebyšev functional and Euler two-point formulae
Mathematical Inequalities and Applications 2014, One Thousand Papers Conference,Element, (2014) str. 72-72
-
Generalisations of Steffensen's inequality via Fink identity and related results
Advances in inequalities and applications, 2014 (2014) str. 9-1-9-18
-
n-exponential convexity for Levinson type inequalities and related Stolarsky type means
Matematički bilten, 37 (2013) str. 25-38
-
Generalization of Jensen's inequality by Lidstone's polynomial and related results
Mathematical inequalities & applications, 16 (2013) str. 1243-1267
-
n-exponential convexity of divided differences and related Stolarsky type means
Mathematical inequalities & applications, 16 (2013) str. 1043-1063
-
Means for divided differences and exponential convexity
Mediterranean Journal of Mathematics,Mediterranean journal of mathematics, 9 (2012) str. 187-198, doi: 10.1007/s00009-011-0122-z
-
Exponential convexity for divided differences related to Hermite-Hadamard inequalities
Asian-European journal of mathematics (Singapore), 5 (2012) str. 1250056-1-1250056-16, doi: 10.1142/S1793557112500568
-
A profile of an endosymbiont-enriched fraction of the coral Stylophora pistillata reveals proteins relevant to microbial-host interactions
Molecular & cellular proteomics, 11 (2012) str. NIL_477-NIL-495, doi: 10.1074/mcp.M111.015487
-
n-exponential convexity of divided differences and related stolarsky type Means
Mathematical Inequalities and Nonlinear Functional Analysis with Applications 2012,Gyeongsang National University, (2012) str. 93-93
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Montgomery's identities for function of two variables
Book of Abstracts 5th Croatian Mathematical Congress,Fintrade & Tours, (2012) str. 66-66
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A novel docking domain interface model that can predict recombination between homoeologous modular biosynthetic gene clusters
Journal of industrial microbiology & biotechnology, 38 (2011) str. 1295-1304, doi: 10.1007/s10295-010-0909-0
-
Exponential convexity and Jensen inequality for divided differences
Journal of Mathematical Ineqialities,Journal of mathematical inequalities, 5 (2011) str. 157-168, doi: 10.7153/jmi-05-14
-
Euler integral identity, quadrature formulae and error estimations
Element, (2011)
-
On Euler-Simpson 3/8 formulae
Nonlinear Studies,Nonlinear studies, 18 (2011) str. 1-26
-
Means for divided differences and exponential convexity
Mathematical inequalities and applications 2010,Abdus Salam School of Mathematical Sciences, (2010) str. 13-13
-
Estimations of the error for general Simpson type formulae via pre-Grüss inequality
Journal of mathematical inequalities, 3 (2009) str. 559-566, doi: 10.7153/jmi-03-54
-
Euler's method for weighted integral formulae
Applied mathematics and computation, 206 (2008) str. 445-456, doi: 10.1016/j.amc.2008.09.029
-
Harmonic polynomials and generalizations of Ostrowski inequality
Mathematical Conference: 85 Years of Professor Blagoj Popov Life - Book of abstracts,Institute of Mathematics and Institute of Informatics, Faculty of Natural Sciences and Mathematics, Ss. Cyril and Methodius University, Skopje, Macedonia, (2008) str. 24-24
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Generalizacija klasičnih kvadraturnih formula i izvedene nejednakosti
(2008)
-
Finding regions of exact identity between two DNA sequences
Book of Abstracts - KDSA 2008, Workshop on Knowledge Discovery in Scientific Applications,Institut Ruđer Bošković, (2008)
-
General dual Euler-Simpson formula
Journal of mathematical inequalities, 2 (2008) str. 511-526
-
A generalization of general two-point formula with applications in numerical integration
Nonlinear Analysis,Nonlinear analysis : theory, methods and applications, 68 (2008) str. 2445-2463, doi: /10.1016/j.na.2007.01.069
-
General Euler-Simpson type formulae and estimations of the error via pre-Grüss inequality
Mathematical Inequalities and Applications 2008,Element, (2008) str. 142-142
-
Weighted generalization of the trapezoidal rule via Fink identity
The Australian Journal of Mathematical Analysis and Applications,The Australian journal of mathematical analysis and applications, 4 (2007) str. 1-12
-
General Two-point Quadrature Formulae
(2007)
-
Montgomery's identities for function of two variables
Journal of mathematical analysis and applications, 332 (2007) str. 617-630, doi: 10.1016/j.jmaa.2006.10.028
-
General Euler two-point formulae and related inequalities
Third International Conference of Applied Mathematics, (2006)
-
An m-dimensional version of difference of two integral means for mappings of the Hölder type
Journal of applied functional analysis, 1 (2006)
-
Milovanović-Pečarić-Fink inequality for difference of two integral means
Taiwanese journal of mathematics, 10 (2006)
-
On generalization of Bullen-Simpson's inequality
The Rocky Mountain journal of mathematics, 35 (2005) str. 1727-1754
-
Integration of periodic function and applications on integration formulae
Bulletin mathématique de la Société des Sciences Mathématiques de Roumanie, 48(96) (2005)
-
On some Ostrowski type inequalities via Montgomery identity and Taylor's formula II
Tamkang Journal of Mathematics,Tamkang journal of mathematics, 36 (2005)
-
Sharp integral inequalities based on General Euler two-point formulae
The Australian & New Zeland Industrial and Applied Mathematics Journal,The ANZIAM journal, 46 (2005)
-
Generalization of Bullen-Simpson's 3/8 inequality
Mathematical and Computer modelling,Mathematical and computer modelling of dynamical systems, 41 (2005)
-
Hadamard and Dragomir-Agarwal inequalities, the general Euler two point formulae and convex functions
Rad Hrvatske akademije znanosti i umjetnosti, matematičke znanosti,Rad Hrvatske akademije znanosti i umjetnosti. Razred za matematičke, fizičke i kemijske znanosti. Matematičke znanosti, 15 (2005)
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Note on Dragomir-Agarwal inequalities, the general Euler two-point formulae and convex functions
Journal of inequalities in pure and applied mathematics, 6 (2005)
-
Estimations of the error for two-point formula via pre-Grüss inequality
General Mathematics,General mathematics, 13 (2005)
-
General Euler-Simpson formulae
Indian journal of mathematics, 47 (2005)
-
The extension of Montgomery identity via Fink identity with applications
Journal of inequalities and applications, 2005 (2005)
-
Milovanovič-Pečarić-Fink inequality for difference of two integral means
Treći hrvatski matematički kongres,Hrvatsko matematičko društvo, (2004)
-
Estimations of the difference of two integral means via Euler-type identities
Mathematical Inequalities & Applications,Mathematical inequalities & applications, 7 (2004)
-
On Euler-Boole formulae
Mathematical Inequalities & Applications,Mathematical inequalities & applications, 7 (2004)
-
Hadamard and Dragomir-Agarwal inequalities, the Euler formulae and convex functions
Function Equations, Inequalities and Applications,Kluwer Academic Publishers, (2003)
-
Generalizacije Eulerove integralne formule i izvedene nejednakosti
(2003)
-
On generalizations of Dragomir-Agarwal inequality via some Euler-type identities
Matematički Bilten,Matematički bilten, 26 (2002)
-
On generalizations of Ostrowski inequality via Euler harmonic identities
Journal of Inequalities and Applications,Journal of inequalities and applications, 7 (2002)
-
Stationary Stokes system for quasi-Newtonian fluids
Proceedings of the 23rd International Conference on INFORMATION TECHNOLOGY INTERFACES, (2001) str. 433-348
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Hadamard type inequalities via some Euler type identities - Euler bitrapezoid formulae
Nonlinear studies, 8 (2001)
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Boundary and mixed problems for quasi-Newtonian fluids
(2000)