izv. prof. dr. sc. Marjan Praljak
Kabinet za matematiku, fiziku i informatiku
Radno mjesto:
izvanredni profesor
Zavod / Katedra:
Kabinet za matematiku, fiziku i informatiku
Godina diplomiranja:
2002.
Godina magistriranja:
2006.
Godina doktoriranja:
2011.
Na sveučilištu od:
2011.
Lokacija:
Kabinet za matematiku, fiziku i informatiku 1. kat, soba 65
Telefon:
+385 1 4605 120
E-mail:
E-mail
URL službenih stranica na Webu:
https://www.pbf.unizg.hr/zavodi/zavod_za_procesno_inzenjerstvo/kabinet_za_matematiku_fiziku_i_informatiku/marjan_praljak
Nastava
Prijediplomski
- Matematika (32167) — Nositelj
- Matematika 1 (24080) — Nositelj
- Matematika 1 (24112) — Nositelj
- Matematika 1 (239328) — Nositelj, Seminar
- Matematika 1 (239464) — Nositelj, Seminar
- Statistika (32428) — Nositelj, Auditorne vježbe, Vježbe u praktikumu
- Statistika (252766) — Nositelj, Seminar, Vježbe u praktikumu
- Statistika (252780) — Nositelj, Seminar, Vježbe u praktikumu
- Praksa i završni rad (39866) — Laboratorijske vježbe
- Praksa i završni rad (39867) — Laboratorijske vježbe
- Praksa i završni rad (39868) — Laboratorijske vježbe
Diplomski
- Statistika (razlikovni predmet) (177368) — Nositelj
- Uvod u diplomski rad (66876) — Seminar
- Uvod u diplomski rad (66880) — Seminar
- Uvod u diplomski rad (66882) — Seminar
Konzultacije
po dogovoru e-mailom
Povijest zaposlenja
- asistent, PMF-Matematički odsjek Sveučilišta u Zagrebu, 2002. - 2010.
- asistent, Prehrambeno-biotehnološki fakultet Sveučilišta u Zagrebu, ožujak 2011. - studeni 2011.
- viši asistent, Prehrambeno-biotehnološki fakultet Sveučilišta u Zagrebu, studeni 2011. - lipanj 2016.
- docent, Prehrambeno-biotehnološki fakultet Sveučilišta u Zagrebu, lipanj 2016. - listopad 2021.
- izvandredni profesor, Prehrambeno-biotehnološki fakultet Sveučilišta u Zagrebu, listopad 2021. - danas
Znanstvene publikacije
-
Hardy type inequalities and Abel-Gontscharoff’s interpolating polynomial
(2025)
-
On generalization of Mercer’s inequality involving averages of convex functions
Applicable Analysis and Discrete Mathematics, 19 (2025) str. 394-404, doi: 10.2298/aadm231206012a
-
Hardy-type inequalities generalized via Montgomery identity
(2024)
-
Generalizations of Hardy-type inequalities by the Hermite interpolating polynomial
Journal of mathematical inequalities, 18 (2024) str. 443-455
-
Trinomni koeficijenti
Matematičko fizički list, 74 (2024) str. 216-222
-
Hardy type inequalities and Hermite's interpolating polynomial
Proceedings Book of the 7th Mediterranean International Conference of Pure & Applied Mathematics and Related Areas (MICOPAM 2024),The 7th Mediterranean International Conference of Pure & Applied Mathematics and Related Areas, (2024) str. 207-208
-
Hardy-type inequalities generalized via Montgomery identity
Montes Taurus journal of pure and applied mathematics, 6 (2024) str. 62-71
-
Generalized Taylor’s Formula and Steffensen’s Inequality
Mathematics, 11 (2023) 3570, 8, doi: 10.3390/math11163570
-
Generalizations of Hardy-Type Inequalities by Montgomery Identity and New Green Functions
Axioms, 12 (2023) str. 1-13
-
Jedan zadatak s američke olimpijade i njegova poopćena
Matematičko fizički list, 1 (2021) str. 19-26
-
Positivity of Sums and Integrals for n-Convex Functions via Abel-Gontscharoff’s Interpolating Polynomial and Green Functions
Southeast Asian bulletin of mathematics, 45 (2021) str. 197-216
-
Generalizations of Hardy Type Inequalities by Abel– Gontscharoff’s Interpolating Polynomial
Mathematics, 9 (2021) 1724, 14, doi: 10.3390/math9151724
-
Generalizations of Hardy type inequalities via new Green functions
Book of Abstracts,University of Primorska Press Koper, (2021) str. 148-148
-
Steffensen type inequalities for anti-symmetrized monotone functions
Filomat, 34 (2020) str. 373-377, doi: 10.2298/FIL2002373P
-
Popoviciu type inequalities for higher order convex functions via Lidstone interpolation
Mathematical inequalities & applications, (2019) str. 1243-1256, doi: 10.7153/mia-2019-22-85
-
Weighted averages of n-convex functions via extension of Montgomery’s identity
Arabian journal of mathematics, 9 (2019) str. 381-392, doi: 10.1007/s40065-019-0245-9
-
Recent research on Levinson’s inequality
Frontiers in Functional Equations and Analytic Inequalities,Springer, (2019) str. 653-679, doi: 10.1007/978-3-030-28950-8
-
Positivity of sums and integrals for n-convex functions via the Fink identity
Turkish Journal of Mathematics, 43 (2019) str. 579-594, doi: 10.3906/mat-1810-129
-
General Linear Inequalities and Positivity. Higher order convexity
Element, (2017)
-
Positivity of sums for n-convex functions via Taylor's formula and Green function
Advanced Studies in Contemporary Mathematics, 27 (2017) str. 515-537, doi: 10.17777/ascm2017.27.4.515
-
Popoviciu type inequalities for n-convex functions via extension of Montgomery identity
Analele Stiintifice ale Universitatii Ovidius Constanta-Seria Matematica,Analele Universităţii "Ovidius" Constanţa Seria Matematică, 24 (2017) str. 161-188, doi: 10.1515/auom-2016-0053
-
A Note on Generalized Mercer’s Inequality
Bulletin of the Malaysian Mathematical Sciences Society, 40 (2017) str. 881-889, doi: 10.1007/s40840-017-0449-0
-
Hermite interpolation and inequalities involving weighted averages of n-convex functions
Mathematical inequalities & applications, 19 (2016) str. 1169-1180, doi: dx.doi.org/10.7153/mia-19-86
-
Generalized Čebyšev and Ky Fan identities and inequalities
Journal of Mathematical Inequalities,Journal of mathematical inequalities, 10 (2016) str. 185-204, doi: 10.7153/jmi-10-16
-
Potential inequality with Hilbert type kernels
Analele ştiinţifice ale Universităţii "Al.I. Cuza" din Iaşi. Matematică, 62 (2016) str. 89-104, doi: 10.2478/aicu-2014-0029
-
Boas-type inequality for 3-convex functions at a point
Mathematical inequalities & applications, 19 (2016) str. 1363-1374, doi: 10.7153/mia-19-100
-
Hermite interpolation of composition function and Steffensen-type inequalities
Journal of Mathematical Inequalities,Journal of mathematical inequalities, 10 (2016) 1051, 1062, doi: dx.doi.org/10.7153/jmi-10-84
-
Reversed Hardy inequality for C-monotone functions
Journal of Mathematical Inequalities,Journal of mathematical inequalities, 10 (2016) str. 603-622, doi: dx.doi.org/10.7153/jmi-10-49
-
Generalized Levinson's inequality and exponential convexity
Opuscula Mathematica (Online), 35 (2015) str. 397-410, doi: 10.7494/OpMath.2015.35.3.397
-
Boas-type inequality for 3-convex functions at a point
Book of Abstracts of the International conference Mathematical Inequalities and Applications 2015, (2015) str. 64-64
-
Generalized Steffensen's inequality
Journal of Mathematical Inequalities,Journal of mathematical inequalities, 9 (2015) str. 481-487, doi: 10.7153/jmi-09-41
-
Generalization of Levinson's inequality
Journal of Mathematical Inequalities,Journal of mathematical inequalities, 9 (2015) str. 571-586, doi: 10.7153/jmi-09-49
-
New results about Hardy-type inequality
Journal of mathematical inequalities, 9 (2015) str. 1259-1269, doi: 10.7153/jmi-09-96
-
Generalized Jensen-Steffensen and related inequalities
Journal of Mathematical Inequalities,Journal of mathematical inequalities, 9 (2015) str. 1287-1302, doi: 10.7153/jmi-09-98
-
A monotonic refinement of Levinson’s inequality
Journal of inequalities and applications, (2015) str. 162-1-162-, doi: 10.1186/s13660-015-0682-8
-
Multidimensional reversed Hardy type inequalities for monotone functions
Asian-European journal of mathematics (Singapore), 7 (2014) str. 1450055-1-1450055-23, doi: 10.1142/S1793557114500557
-
On potential inequality for the absolute value of functions
Rad Hrvatske akademije znanosti i umjetnosti. Razred za matematičke, fizičke i kemijske znanosti. Matematičke znanosti, 18 (2014) str. 107-123
-
Levinson's inequality for Hilbert space operators
Mathematical Inequalities and Applications 2014, One Thousand Papers Conference,Element, (2014) str. 57-57
-
Levinson's operator inequality
Zagreb Workshop on Operator Theory 2014, (2014)
-
On an inequality of I. Perić
Mathematical communications, 19 (2014) str. 221-242
-
Potential inequality revisited II: Equality case and Hardy type inequalities
MATHEMATICAL INEQUALITIES & APPLICATIONS,Mathematical inequalities & applications, 16 (2013) str. 41-54, doi: 10.7153/mia-16-03
-
Weighted Montgomery's identities for higher order differentiable functions of two variables
Revue d'analyse numérique et de théorie de l'approximation (1992), 42 (2013) str. 49-71
-
3-convex functions and generalizations of an inequality of Hardy-Littlewood-Polya
Glasnik matematički, 48 (2013) str. 335-356, doi: 10.3336/gm.48.2.08
-
Generalized potential inequality and exponential convexity
Matematički bilten, 37 (2013) str. 83-100
-
On a Friedrichs-type inequality
Analele Universităţii din Craiova. Seria matematică, informatică,Annals of University of Craiova, Mathematics and Computer Science Series, 39 (2012) str. 55-64
-
Potential inequality revisited I: General case
MATHEMATICAL INEQUALITIES & APPLICATIONS,Mathematical inequalities & applications, 15 (2012) str. 787-810, doi: 10.7153/mia-15-68
-
On potential inequality for convex functions
(2011)
-
Opcionalna dekompozicija semimartingala
(2006)