## Pečarić, Josip

Compute Distance To:
 Author ID: pecaric.josip-e Published as: Pečarić, Josip; Pečarić, J.; Pečarić, Josip E.; Pečarić, J. E.; Pecaric, Josip; Pecarić, Josip; Pečarič, J.; Pečaric, Josip; Pečarič, Josip; Pečaric, J.; Pečarić, Josif E.; Pecaric, Josip E.; Pecarić, Josip E.; Pecǎrić, Josip E.; Pečarić, Joseph; Pečarič, J. E.; Pećarić, Josip; Pecǎrić, Josip; Pečarić, J. V.; Pečarić, J. E; Pecaric, J. Further Spellings: Печарич Дж Homepage: https://www.math.pmf.unizg.hr/hr/josip-pe%C4%8Dari%C4%87 External Links: MGP · Wikidata · ResearchGate · Math-Net.Ru · dblp · GND · IdRef
 Documents Indexed: 1,308 Publications since 1977, including 30 Books 1 Contribution as Editor · 1 Further Contribution Reviewing Activity: 138 Reviews Biographic References: 4 Publications Co-Authors: 281 Co-Authors with 1,173 Joint Publications 5,683 Co-Co-Authors
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### Serials

 140 Mathematical Inequalities & Applications 80 Journal of Inequalities and Applications 76 Journal of Mathematical Inequalities 63 Journal of Mathematical Analysis and Applications 37 Rad Hrvatske Akademije Znanosti i Umjetnosti. Matematičke Znanosti 27 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 21 Tamkang Journal of Mathematics 20 Monographs in Inequalities 19 Linear Algebra and its Applications 16 Southeast Asian Bulletin of Mathematics 16 Matematichki Bilten 15 Publikacije Elektrotehnickog Fakulteta. Univerzitat u Beogradu. Serija Matematika i Fizika 15 The ANZIAM Journal 13 Periodica Mathematica Hungarica 12 Houston Journal of Mathematics 12 Studia Universitatis Babeș-Bolyai. Mathematica 11 Rocky Mountain Journal of Mathematics 11 Applied Mathematics and Computation 11 Rendiconti del Circolo Matemàtico di Palermo. Serie II 11 Soochow Journal of Mathematics 11 Mathematica Balkanica. New Series 11 Aequationes Mathematicae 11 Revue d’Analyse Numérique et de Théorie de l’Approximation 11 Nonlinear Functional Analysis and Applications 10 Analele Universității din Craiova. Seria Matematică Informatică 9 Bulletin of the Australian Mathematical Society 9 Journal of the Australian Mathematical Society, Series B 9 Glasnik Matematički. Serija III 9 Journal of Computational Analysis and Applications 8 Journal of the Korean Mathematical Society 8 Matematički Vesnik 8 Applied Mathematics Letters 8 Banach Journal of Mathematical Analysis 7 Computers & Mathematics with Applications 7 Acta Scientiarum Mathematicarum 7 Mathématica – Revue d’Analyse Numérique et de Théorie de l’Approximation. L’Analyse Numérique et la Théorie de l’Approximation 7 Sitzungsberichte. Abteilung II. Österreichische Akademie der Wissenschaften, Mathematisch-Naturwissenschaftliche Klasse 7 Comptes Rendus Mathématiques de l’Académie des Sciences 7 Mathematical and Computer Modelling 7 Panamerican Mathematical Journal 7 Abstract and Applied Analysis 7 Proceedings of A. Razmadze Mathematical Institute 7 Scientiae Mathematicae Japonicae 7 Mediterranean Journal of Mathematics 7 Sarajevo Journal of Mathematics 7 Asian-European Journal of Mathematics 6 Indian Journal of Mathematics 6 Publications de l’Institut Mathématique. Nouvelle Série 6 Publicationes Mathematicae 6 Nonlinear Studies 6 Mathematical Communications 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 6 International Journal of Pure and Applied Mathematics 6 The Australian Journal of Mathematical Analysis and Applications 6 Matematički Problemi i Ekspozicije 6 Fractional Differential Calculus 5 Ukrainian Mathematical Journal 5 The Australian Mathematical Society Gazette 5 Demonstratio Mathematica 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Rad. Matematicke Znanosti 5 Prilozi. Oddelenje za Matematichko-Tekhnichki Nauki 5 Facta Universitatis. Series Mathematics and Informatics 5 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série 5 Turkish Journal of Mathematics 5 Taiwanese Journal of Mathematics 5 Mathematical Reports 4 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 4 International Journal of Mathematics and Mathematical Sciences 4 Journal of Approximation Theory 4 Utilitas Mathematica 4 Buletinul Științific și Tehnic al Institutului Politehnic ”Traian Vuia” Timișoara. Seria Matematica-Fizica 4 Punime Matematike. Shoqata e Matematikaneve, Fizikaneve dhe Astronomeve e KSA te Kosoves. Drustvo Matematicara, Fizicara i Astronoma SAP Kosova 4 Anzeiger der Österreichischen Akademie der Wissenschaften. Mathematisch-Naturwissenschaftliche Klasse 4 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică 4 Advanced Studies in Contemporary Mathematics (Kyungshang) 4 Advances in Difference Equations 4 Communications in Mathematical Analysis 4 Annals of Functional Analysis 4 Open Mathematics 3 American Mathematical Monthly 3 Indian Journal of Pure & Applied Mathematics 3 Linear and Multilinear Algebra 3 Mathematical Methods in the Applied Sciences 3 Mathematical Notes 3 Revue Roumaine de Mathématiques Pures et Appliquées 3 Acta Mathematica Vietnamica 3 Analele Universității din Timișoara. Științe Matematice 3 Kyungpook Mathematical Journal 3 Mathématica – Revue d’Analyse Numérique et de Théorie de l’Approximation. Mathématica 3 Results in Mathematics 3 Annales Societatis Mathematicae Polonae. Seria I. Commentationes Mathematicae 3 Zeitschrift für Analysis und ihre Anwendungen 3 Acta Mathematica Hungarica 3 Bulletin of the Iranian Mathematical Society 3 Mathematica Pannonica 3 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică 3 Analele Universității din Timișoara. Seria Matematică-Informatică 3 Fractional Calculus & Applied Analysis 3 Tamsui Oxford Journal of Mathematical Sciences ...and 137 more Serials
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### Fields

 1,131 Real functions (26-XX) 111 Operator theory (47-XX) 72 Information and communication theory, circuits (94-XX) 59 Numerical analysis (65-XX) 56 Difference and functional equations (39-XX) 52 Functional analysis (46-XX) 51 Linear and multilinear algebra; matrix theory (15-XX) 48 Approximations and expansions (41-XX) 31 Special functions (33-XX) 25 Probability theory and stochastic processes (60-XX) 21 Ordinary differential equations (34-XX) 15 Measure and integration (28-XX) 13 Geometry (51-XX) 12 Convex and discrete geometry (52-XX) 10 Functions of a complex variable (30-XX) 8 Sequences, series, summability (40-XX) 7 Partial differential equations (35-XX) 6 Potential theory (31-XX) 6 Integral equations (45-XX) 5 History and biography (01-XX) 4 Combinatorics (05-XX) 3 Number theory (11-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Statistics (62-XX) 2 General and overarching topics; collections (00-XX) 2 Abstract harmonic analysis (43-XX) 2 General topology (54-XX) 2 Systems theory; control (93-XX) 1 Differential geometry (53-XX) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

771 Publications have been cited 5,307 times in 2,612 Documents Cited by Year
Classical and new inequalities in analysis. Zbl 0771.26009
Mitrinović, D. S.; Pečarić, J. E.; Fink, A. M.
1993
Convex functions, partial orderings, and statistical applications. Zbl 0749.26004
Pečarić, Josip E.; Proschan, Frank; Tong, Y. L.
1992
Inequalities involving functions and their integrals and derivatives. Zbl 0744.26011
Mitrinović, D. S.; Pečarić, J. E.; Fink, A. M.
1991
Mond-Pečarić method in operator inequalities. Inequalities for bounded selfadjoint operators on a Hilbert space. Zbl 1135.47012
Pečarić, Josip; Furuta, Takayuki; Mićić Hot, Jadranka; Seo, Yuki
2005
Some inequalities of Hadamard type. Zbl 0834.26009
Dragomir, Sever Silvestru; Pečarić, Josip E.; Persson, L. E.
1995
Inequalities for differentiable mappings with application to special means and quadrature formulæ. Zbl 0970.26016
Pearce, C. E. M.; Pečarić, J.
2000
Hadamard-type inequalities for s-convex functions. Zbl 1193.26020
Kirmaci, U. S.; Klaričić Bakula, M.; Özdemir, M. E.; Pečarić, J.
2007
Recent advances in geometric inequalities. Zbl 0679.51004
Mitrinović, D. S.; Pečarić, J. E.; Volenec, V.
1989
The best bounds in Gautschi’s inequality. Zbl 0947.33001
Elezović, Neven; Giordano, Carla; Pečarić, Josip
2000
A variant of Jensen’s inequality of Mercer’s type for operators with applications. Zbl 1105.47017
Matković, A.; Pečarić, J.; Perić, I.
2006
Hadamard’s inequality for $$r$$-convex functions. Zbl 0891.26013
Gill, P. M.; Pearce, C. E. M.; Pečarić, J.
1997
Some new explicit bounds for weakly singular integral inequalities with applications to fractional differential and integral equations. Zbl 1142.26015
Ma, Qing-Hua; Pečarić, Josip
2008
Generalization of Hilbert and Hardy-Hilbert integral inequalities. Zbl 1078.26019
Yang, Bicheng; Brnetić, Ilko; Krnić, Mario; Pečarić, Josip
2005
Convex inequalities in Hilbert space. Zbl 0813.46016
Mond, B.; Pečarić, J. E.
1993
General Hilbert’s and Hardy’s inequalities. Zbl 1079.26018
Krnić, Mario; Pečarić, Josip
2005
On Jessen’s inequality for convex functions. Zbl 0591.26009
Beesack, Paul R.; Pečarić, Josip E.
1985
Exponential convexity method. Zbl 1275.26038
Jakšetić, Julije; Pečarić, Josip
2013
Hadamard type inequalities for $$m$$-convex and $$(\alpha,m)$$-convex functions. Zbl 1163.26327
Klaričić Bakula, M.; Özdemir, M. E.; Pečarić, Josip E.
2008
Hilbert’s inequalities and their reverses. Zbl 1092.26014
Krnić, Mario; Pečarić, Josip
2005
Jensen’s operator inequality and its converses. Zbl 1151.47025
Hansen, Frank; Pečarić, Josip; Perić, Ivan
2007
Improvements of the Giaccardi and the Petrović inequality and related Stolarsky type means. Zbl 1274.26069
Pečarić, Josip; Perić, Jurica
2012
A further extension of Mittag-Leffler function. Zbl 1426.33051
Andrić, Maja; Farid, Ghulam; Pečarić, Josip
2018
Improvement and further generalization of inequalities of Ostrowski-Grüss type. Zbl 0952.26013
Matić, M.; Pečarić, J.; Ujević, N.
2000
Properties of some functionals related to Jensen’s inequality. Zbl 0847.26013
Dragomir, Sever Silvestru; Pečarić, Josip E.; Persson, L. E.
1996
Abstract Cauchy problem for fractional functional differential equations. Zbl 1292.34075
Zhou, Yong; Jiao, Feng; Pečarić, Josip
2013
Extension of Hilbert’s inequality. Zbl 1112.26019
Krnić, Mario; Pečarić, Josip
2006
Generalizations of some inequalities of Ostrowski-Grüss type. Zbl 0978.26011
Pearce, C. E. M.; Pečarić, J.; Ujević, N.; Varošanec, S.
2000
A generalization of Hadamard’s inequality for isotonic linear functionals. Zbl 0738.26006
Pečarić, Josip E.; Dragomir, Sever S.
1991
Stolarsky means and Hadamard’s inequality. Zbl 0909.26011
Pearce, C. E. M.; Pečarić, J.; Šimić, V.
1998
The bounds on the solutions of certain two-dimensional delay dynamic systems on time scales. Zbl 1219.34118
Ma, Qing-Hua; Pečarić, Josip
2011
Minkowski and Beckenbach-Dresher inequalities and functionals on time scales. Zbl 1277.26033
Bibi, Rabia; Bohner, Martin; Pečarić, Josip; Varošanec, Sanja
2013
Estimations of $$f$$- and Rényi divergences by using a cyclic refinement of the Jensen’s inequality. Zbl 1428.26040
Horváth, László; Pečarić, Đilda; Pečarić, Josip
2019
Some new Hardy type inequalities with general kernels. Zbl 1177.26038
Krulić, Kristina; Pečarić, Josip; Persson, Lars-Erik
2009
On strengthened Hardy and Pólya-Knopp’s inequalities. Zbl 1034.26008
Čižmešija, Aleksandra; Pečarić, Josip; Persson, Lars-Erik
2003
Integral inequalities on time scales via the theory of isotonic linear functionals. Zbl 1221.26026
Anwar, Matloob; Bibi, Rabia; Bohner, Martin; Pečarić, Josip
2011
Abramovich, Shoshana; Barić, Josipa; Pečarić, Josip
2008
On some higher-dimensional Hilbert’s and Hardy-Hilbert’s integral inequalities with parameters. Zbl 1182.26060
Krnić, Mario; Pečarić, Josip; Vuković, Predrag
2008
On generalizations of Ostrowski inequality via some Euler-type identities. Zbl 0965.26014
Dedić, Lj.; Matić, M.; Pečarić, J.
2000
The unified treatment of trapezoid, Simpson, and Ostrowski type inequality for monotonic mappings and applications. Zbl 1042.26507
Dragomir, S. S.; Pečarić, J.; Wang, S.
2000
Popoviciu type inequalities via Green function and generalized Montgomery identity. Zbl 1331.26026
Butt, Saad Ihsan; Khan, Khuram Ali; Pečarić, Josip
2015
Estimates on solutions of some new nonlinear retarded Volterra-Fredholm type integral inequalities. Zbl 1151.26330
Ma, Qing-Hua; Pečarić, Josip
2008
A matrix version of the Ky Fan generalization of the Kantorovich inequality. Zbl 0791.15015
Mond, B.; Pečarić, J. E.
1994
Bounds for Shannon and Zipf-Mandelbrot entropies. Zbl 1381.26027
2017
Improved arithmetic-geometric and Heinz means inequalities for Hilbert space operators. Zbl 1275.47038
Kittaneh, Fuad; Krnić, Mario; Lovričević, Neda; Pečarić, Josip
2012
Note on a class of functions of Godunova and Levin. Zbl 0701.26015
Mitrinović, D. S.; Pečarić, J. E.
1990
Carleman’s inequality: History and new generalizations. Zbl 0990.26016
Pečarić, Josip; Stolarsky, Kenneth B.
2001
On the Jensen inequality for monotone functions. Zbl 0446.26014
Vasić, Petar M.; Pečarić, Josip E.
1979
On Euler trapezoid formulae. Zbl 1024.65002
Dedić, Lj.; Matić, M.; Pečarić, J.
2001
Note on some Hadamard-type inequalities. Zbl 1055.26017
Klaričić Bakula, M.; Pečarić, J.
2004
Companion inequalities to Jensen’s inequality for $$m$$-convex and $$(\alpha,m)$$-convex functions. Zbl 1130.26005
Klaričić Bakula, M.; Pečarić, Josip E.; Ribičić, M.
2006
A note on Schur-convex functions. Zbl 0978.26013
Elezović, N.; Pečarić, J.
2000
Some dynamic Hardy-type inequalities with general kernel. Zbl 1294.26020
Bohner, Martin; Nosheen, Ammara; Pečarić, Josip; Younus, Awais
2014
Linear operators inequality for $$n$$-convex functions at a point. Zbl 1331.26016
Pečarić, Josip; Praljak, Marjan; Witkowski, Alfred
2015
On some Ostrowski type inequalities via Montgomery identity and Taylor’s formula. II. Zbl 1094.26015
Aglić Aljinović, A.; Pečarić, J.; Vukelić, A.
2005
Recent advances in Hilbert-type inequalities. A unified treatment of Hilbert-type inequalities. Zbl 1301.26004
Krnić, Mario; Pečarić, Josip; Perić, Ivan; Vuković, Predrag
2012
A reverse inequality for the weighted geometric mean due to Lawson–Lim. Zbl 1132.47016
Fujii, Jun Ichi; Fujii, Masatoshi; Nakamura, Masahiro; Pečarić, Josip; Seo, Yuki
2007
Classical inequalities for matrix functions. Zbl 0823.15018
Mond, B.; Pečarić, J. E.
1994
On some inequalities for functions with nondecreasing increments. Zbl 0597.26026
Pečarić, Josip E.
1984
Generalization of the power means and their inequalities. Zbl 0753.26009
Pečarić, Josip E.
1991
On the Čebyšev inequality. Zbl 0478.26009
Pečarić, Josip E.
1980
A generalization of Maclaurin’s inequalities and its application. Zbl 1087.26019
Pečarić, Josip; Wen, Jiajin; Wang, Wan-lan; Lu, Tao
2005
A variant of Jensen-Steffensen’s inequality and quasi-arithmetic means. Zbl 1066.26012
Abramovich, S.; Klaričić Bakula, M.; Matić, M.; Pečarić, J.
2005
Generalization of Jensen’s and Jensen-Steffensen’s inequalities by generalized majorization theorem. Zbl 1386.26028
Khan, M. Adil; Khan, Jamroz; Pečarić, Josip
2017
New refinements of the Jensen inequalities based on samples with repetitions. Zbl 0912.26008
Pečarić, J.; Svrtan, D.
1998
On new estimation of the remainder in generalized Taylor’s formula. Zbl 0933.26013
Matić, M.; Pečarić, J.; Ujević, N.
1999
Inequalities for the gamma function relating to asymptotic expansions. Zbl 1036.26013
Allasia, G.; Giordano, C.; Pečarić, J.
2002
Some further matrix extensions of the Cauchy-Schwarz and Kantorovich inequalities, with some statistical applications. Zbl 0860.15021
Pečarić, Josip E.; Puntanen, Simo; Styan, George P. H.
1996
New generalizations of Popoviciu-type inequalities via new Green’s functions and Montgomery identity. Zbl 1362.26023
Mehmood, Nasir; Agarwal, Ravi P.; Butt, Saad Ihsan; Pečarić, Josip
2017
Shannon’s and related inequalities in information theory. Zbl 1031.94004
Matić, M.; Pearce, C. E. M.; Pečarić, J.
2000
Some improvements of Grüss type inequality. Zbl 1144.26026
Elezović, N.; Marangunić, Lj.; Pečarić, J.
2007
On Zipf-Mandelbrot entropy. Zbl 1452.26021
2019
Recent developments of Mond-Pečarić method in operator inequalities. Inequalities for bounded selfadjoint operators on a Hilbert space. II. Zbl 1277.47001
Fujii, Masatoshi; Mićić Hot, Jadranka; Pečarić, Josip; Seo, Yuki
2012
On Jessen’s inequality for convex functions. II. Zbl 0608.26010
Pečarić, Josip E.; Beesack, Paul R.
1986
Integral inequalities of systems and the estimate for solutions of certain nonlinear two-dimensional fractional differential systems. Zbl 1222.26029
Ma, Qing-Hua; Pečarić, Josip; Zhang, Jian-Mei
2011
A refinement of the discrete Jensen’s inequality. Zbl 1229.26026
Horváth, László; Pečarić, Josip
2011
Generalizations of Sherman’s inequality by Lidstone’s interpolating polynomial. Zbl 1331.26033
Agarwal, Ravi P.; Ivelić Bradanović, Slavica; Pečarić, Josip
2016
On an inequality of Godunova-Levin and some refinements of Jensen integral inequality. Zbl 0678.26009
Pečarić, Josip E.; Dragomir, Sever S.
1989
Jensen’s inequality for operators without operator convexity. Zbl 1216.47026
Mićić, Jadranka; Pavić, Zlatko; Pečarić, Josip
2011
Generalizations of Sherman’s inequality. Zbl 1399.26042
2017
Exponential convexity, positive semi-definite matrices and fundamental inequalities. Zbl 1218.26007
Anwar, M.; Jakšetić, J.; Pečarić, J.; Rehman, Atiq Ur
2010
Complementary inequalities to inequalities of Jensen and Ando based on the Mond-Pečarić method. Zbl 0971.47014
Mićić, Jadranka; Pečarić, Josip; Seo, Yuki
2000
Further reverse results for Jensen’s discrete inequality and applications in information theory. Zbl 0977.26013
Budimir, I.; Dragomir, S. S.; Pečarić, J.
2001
Some inequalities of Euler-Grüss type. Zbl 0984.26011
Dedić, Lj.; Matić, M.; Pečarić, J.
2001
On generalization of the inequality of A. Ostrowski and some related applications. Zbl 0351.26021
Milovanović, Gradimir V.; Pečarić, Josip E.
1977
Multiplicative inequalities of Carlson type and interpolation. Zbl 1102.41001
2006
A refinement of Jensen inequality and applications. Zbl 0687.26009
Pečarić, Josip E.; Dragomir, Sever S.
1989
On Jensen’s inequality for operator convex functions. Zbl 0846.47015
Mond, B.; Pečarić, J. E.
1995
On some inequalities for monotone functions. Zbl 0725.26012
Mitrinović, Dragoslav S.; Pečarić, Josip E.
1991
On Gram’s determinant in 2-inner product spaces. Zbl 1025.46016
Cho, Y. J.; Matić, M.; Pečarić, J.
2001
An inequality for 3-convex functions. Zbl 0508.26008
Pečarić, Josip E.
1982
New Hilbert-Pachpatte type integral inequalities. Zbl 0988.26013
Handley, G. D.; Koliha, J. J.; Pečarić, J. E.
2001
Differential and integral $$f$$-means and applications to digamma function. Zbl 0952.26010
Elezović, Neven; Pečarić, Josip
2000
Extensions of the Hermite-Hadamard inequality with applications. Zbl 1253.26040
Klaričić Bakula, M.; Pečarić, J.; Perić, J.
2012
Zipf-Mandelbrot law, $$f$$-divergences and the Jensen-type interpolating inequalities. Zbl 1412.94137
Lovričević, Neda; Pečarić, Đilda; Pečarić, Josip
2018
Supplements to known inequalities for some special functions. Zbl 0856.33005
Giordano, Carla; Laforgia, Andrea; Pečarić, Josip
1996
Generalization of majorization theorem. Zbl 1333.26023
Khan, M. Adil; Latif, N.; Pečarić, J.
2015
Generalized Levinson’s inequality and exponential convexity. Zbl 1333.26027
Pečarić, Josip; Praljak, Marjan; Witkowski, Alfred
2015
On some inequalities for beta and gamma functions via some classical inequalities. Zbl 1108.26016
Agarwal, R. P.; Elezović, N.; Pečarić, J.
2005
Weighted Favard and Berwald inequalities. Zbl 0834.26012
Maligranda, L.; Pečarić, J. E.; Persson, L. E.
1995
Converses of Jensen’s inequality for several operators. Zbl 0847.47016
Mond, B.; Pečarić, J. E.
1994
Jensen-Grüss inequality and its applications for the Zipf-Mandelbrot law. Zbl 1472.26006
Butt, Saad Ihsan; Bakula, Milica Klaričić; Pečarić, Đilda; Pečarić, Josip
2021
A new refinement of the Jensen inequality with applications in information theory. Zbl 1457.26018
2021
New improvements of Jensen’s type inequalities via 4-convex functions with applications. Zbl 1460.26026
2021
Steffensen-Grüss inequality. Zbl 1469.26027
Butt, Saad I.; Bakula, Milica Klaričić; Pečarić, Josip
2021
Estimation of $$f$$-divergence and Shannon entropy by Levinson type inequalities via Lidstone interpolating polynomial. Zbl 1476.26013
Adeel, M.; Khan, K.; Pečarić, Ð.; Pečarić, J.
2021
Estimation of different entropies via Hermite interpolating polynomial using Jensen-type functionals. Zbl 1464.94017
Khan, Khuram Ali; Niaz, Tasadduq; Pečarić, Đilda; Pečarić, Josip
2021
Refinements of some integral inequalities for unified integral operators. Zbl 07464986
Jung, Chahn Yong; Farid, Ghulam; Andrić, Maja; Pečarić, Josip; Chu, Yu-Ming
2021
Generalizations of cyclic refinements of Jensen’s inequality by Lidstone’s polynomial with applications in information theory. Zbl 1444.26035
Mehmood, Nasir; Butt, Saad Ihsan; Pečarić, Đilda; Pečarić, Josip
2020
Boundedness of fractional integral operators containing Mittag-Leffler function via exponentially $$s$$-convex functions. Zbl 1463.45057
Hong, Gang; Farid, G.; Nazeer, Waqas; Akbar, S. B.; Pečarić, J.; Zou, Junzhong; Geng, Shengtao
2020
Generalized fractional integral inequalities for exponentially $$(s,m)$$-convex functions. Zbl 07460845
Qiang, Xiaoli; Farid, Ghulam; Pečarić, Josip; Akbar, Saira Bano
2020
Majorization inequalities via Green functions and Fink’s identity with applications to Shannon entropy. Zbl 07460967
Siddique, Nouman; Imran, Muhammad; Khan, Khuram Ali; Pečarić, Josip
2020
Cyclic improvements of Jensen’s inequalities. Cyclic inequalities in information theory. Zbl 1439.26003
Butt, Saad Ihsan; Horváth, László; Pečarić, Đilda; Pečarić, Josip
2020
Some new improvements of Jensen’s inequality. Jensen’s type inequalities in information theory. Zbl 1439.26008
2020
Generalized Minkowski-type fractional inequalities involving extended Mittag-Leffler function. Zbl 1463.33040
Andrić, Maja; Farid, Ghulam; Pećarić, Josip; Siddique, Usama
2020
Further generalizations of Minkowski type inequalities with extended Mittag-Leffler function. Zbl 1458.26009
Andrič, Maja; Farid, Ghulam; Pečarič, Josip; Siddique, Muhammad Usama
2020
Shannon type inequalities via time scales theory. Zbl 1482.39037
Ansari, Iqrar; Khan, Khuram Ali; Nosheen, Ammara; Pečarić, Ðilda; Pečarić, Josip
2020
New refinement of the Jensen inequality associated to certain functions with applications. Zbl 07460851
2020
Further generalizations of Hadamard and Fejér-Hadamard fractional inequalities and error estimates. Zbl 07499659
Rao, Yongsheng; Yussouf, Muhammad; Farid, Ghulam; Pečarić, Josip; Tlili, Iskander
2020
Difference equations related to majorization theorems via Montgomery identity and Green’s functions with application to the Shannon entropy. Zbl 07499668
Siddique, Nouman; Imran, Muhammad; Khan, Khuram Ali; Pečarić, Josip
2020
Estimations of $$f$$- and Rényi divergences by using a cyclic refinement of the Jensen’s inequality. Zbl 1428.26040
Horváth, László; Pečarić, Đilda; Pečarić, Josip
2019
On Zipf-Mandelbrot entropy. Zbl 1452.26021
2019
Bounds for Csiszár divergence and hybrid Zipf-Mandelbrot entropy. Zbl 1434.26054
2019
New bounds for Shannon, relative and Mandelbrot entropies via Abel-Gontscharoff interpolating polynomial. Zbl 1434.26020
Butt, Saad Ihsan; Mehmood, Nasir; Pečarić, Đilda; Pečarić, Josip
2019
Hybrid Zipf-Mandelbrot law. Zbl 1412.94136
Jakšetić, Julije; Pečarić, Đilda; Pečarić, Josip
2019
On Shannon and Zipf-Mandelbrot entropies and related results. Zbl 1477.94040
Khalid, Sadia; Pečarić, Đilda; Pečarić, Josip
2019
Estimation of different entropies via Taylor one point and Taylor two points interpolations using Jensen type functionals. Zbl 1438.26085
Niaz, Tasadduq; Khan, Khuram Ali; Pečarić, Đilda; Pečarić, Josip
2019
Further improvement of an extension of Hölder-type inequality. Zbl 1435.26022
Jakšetić, Julije; Pečarić, Josip; Kalamir, Ksenija Smoljak
2019
Pólya-Szegö and Chebyshev types inequalities via an extended generalized Mittag-Leffler function. Zbl 1434.26035
Andrić, Maja; Farid, Ghulam; Mehmood, Sajid; Pečarić, Josip
2019
Uniform treatment of Jensen type inequalities. II. Zbl 1463.26068
Pečarić, J.; Rodić, M.
2019
Majorization inequality and information theory. Selected topics of majorization and applications. Zbl 1439.26004
2019
Double precision of the Jensen-type operator inequalities for bounded and Lipschitzian functions. Zbl 07086048
Krnić, Mario; Mikić, Rozarija; Pečarić, Josip
2019
Inequalities and Zipf-Mandelbrot law. Selected topics in information theory. Zbl 1426.26002
2019
Generalizations of Sherman’s inequality via Fink’s identity and Green’s function. Zbl 1423.26028
Ivelić Bradanović, S.; Latif, N.; Pečarić, J.
2019
On Zipf-Mandelbrot entropy and 3-convex functions. Zbl 1468.26006
Khalid, Sadia; Pečarić, Đilda; Pečarić, Josip
2019
Zipf-Mandelbrot law and superadditivity of the Jensen functional. Zbl 1476.94020
Lovričević, Neda; Pečarić, Đilda; Pečarić, Josip
2019
Note on generalization of the Jensen-Mercer inequality by Taylor’s polynomial. Zbl 1434.26056
Matković, Anita; Pečarić, Josip
2019
Converse to the Sherman inequality with applications. Zbl 1430.94046
Barbir, Ana; Bradanović, Slavica Ivelić; Pečarić, Đilda; Pečarić, Josip
2019
On a Jensen-type inequality for generalized $$f$$-divergences and Zipf-Mandelbrot law. Zbl 1434.26062
Pečarić, Đilda; Pečarić, Josip; Rodić, Mirna
2019
Generalization of the Levinson inequality with applications to information theory. Zbl 07459258
2019
A further extension of Mittag-Leffler function. Zbl 1426.33051
Andrić, Maja; Farid, Ghulam; Pečarić, Josip
2018
Zipf-Mandelbrot law, $$f$$-divergences and the Jensen-type interpolating inequalities. Zbl 1412.94137
Lovričević, Neda; Pečarić, Đilda; Pečarić, Josip
2018
Inequalities of the Jensen and Edmundson-Lah-Ribarič type for 3-convex functions with applications. Zbl 1403.26006
Mikić, Rozarija; Pečarić, Đilda; Pečarić, Josip
2018
New improvement of the converse Jensen inequality. Zbl 1382.26024
Pečarić, J.; Perić, J.
2018
Some properties of Zipf-Mandelbrot law and Hurwitz $$\zeta$$-function. Zbl 1384.26052
Jakšetić, Julije; Pečarić, Đilda; Pečarić, Josip
2018
More accurate classes of Jensen-type inequalities for convex and operator convex functions. Zbl 06858110
Choi, Daeshik; Krnić, Mario; Pečarić, Josip
2018
Generalized integral inequalities for fractional calculus. Zbl 1438.26090
Samraiz, Muhammad; Iqbal, Sajid; Pečarić, Josip
2018
Majorization, “useful” Csiszár divergence and “useful” Zipf-Mandelbrot law. Zbl 1412.94131
Latif, Naveed; Pečarić, Đilda; Pečarić, Josip
2018
Generalization of majorization theorem. II. Zbl 1403.26008
Latif, Naveed; Siddique, Nouman; Pečarić, Josip
2018
Refinements and generalizations of majorization, Favard and Berwald-type inequalities via Fink identity. Zbl 1391.26034
Khalid, Sadia; Pečarić, Josip; Perić, Ivan
2018
Generalized results of majorization inequality via Lidstone’s polynomial and newly Green functions. Zbl 1438.26099
Siddique, Nouman; Latif, Naveed; Pečarić, Josip
2018
Jensen-type inequalities on time scales for $$n$$-convex functions. Zbl 1405.26025
Mikic, Rozarija; Pecaric, Josip
2018
Refinement of Jensen’s inequality and estimation of $$f$$- and Rényi divergence via Montgomery identity. Zbl 07446034
Khan, Khuram Ali; Niaz, Tasadduq; Pečarić, Ðilda; Pečarić, Josip
2018
Jensen-Steffensen inequality for diamond integrals, its converse and improvements via Green function and Taylor’s formula. Zbl 1396.26037
Nosheen, Ammara; Bibi, Rabia; Pečarić, Josip
2018
New bounds for Shannon, relative and Mandelbrot entropies via Hermite interpolating polynomial. Zbl 1391.94588
Mehmood, Nasir; Butt, Saad Ihsan; Pečarić, Đilda; Pečarić, Josip
2018
Generalization of cyclic refinements of Jensen inequality by Montgomery identity and Green’s function. Zbl 1393.26027
Mehmood, Nasir; Butt, Saad Ihsan; Pečarić, Josip
2018
Refinements of the majorization-type inequalities via Green and Fink identities and related results. Zbl 06924561
Khalid, Sadia; Pečarić, Josip; Vukelić, Ana
2018
About the sharpness of the Jensen inequality. Zbl 07446053
Pečarić, Ðilda; Pečarić, Josip; Rodić, Mirna
2018
Bounds for Shannon and Zipf-Mandelbrot entropies. Zbl 1381.26027
2017
Generalization of Jensen’s and Jensen-Steffensen’s inequalities by generalized majorization theorem. Zbl 1386.26028
Khan, M. Adil; Khan, Jamroz; Pečarić, Josip
2017
New generalizations of Popoviciu-type inequalities via new Green’s functions and Montgomery identity. Zbl 1362.26023
Mehmood, Nasir; Agarwal, Ravi P.; Butt, Saad Ihsan; Pečarić, Josip
2017
Generalizations of Sherman’s inequality. Zbl 1399.26042
2017
Majorization, Csiszár divergence and Zipf-Mandelbrot law. Zbl 1369.94404
Latif, Naveed; Pečarić, Đilda; Pečarić, Josip
2017
New generalizations of Popoviciu type inequalities via new Green functions and Fink’s identity. Zbl 1373.26024
Butt, Saad Ihsan; Mehmood, Nasir; Pečarić, Josip
2017
Generalizations of Sherman’s inequality by Montgomery indentity and Green function. Zbl 1371.26024
Adil Khan, M.; Khan, Jamroz; Pečarić, J.
2017
Hardy-type inequalities for generalized fractional integral operators. Zbl 1358.26009
2017
Weighted Opial-type inequalities for fractional integral and differential operators involving generalized Mittag-Leffler functions. Zbl 1366.26015
Tomovski, Zivord; Pečarić, Josip; Farid, Ghulam
2017
Improved Jensen-type inequalities via linear interpolation and applications. Zbl 1368.26021
Choi, Daeshik; Krnić, Mario; Pečarić, Josip
2017
On some Hardy-type inequalities for fractional calculus operators. Zbl 1370.26042
2017
On generalization of refinement of Jensen’s inequality using Fink’s identity and Abel-gontscharoff Green function. Zbl 1373.26019
Niaz, Tasadduq; Khan, Khuram Ali; Pečarić, Josip
2017
Generalization of Jensen-type linear functional on time scales via Lidstone polynomial. Zbl 1438.26045
Bibi, Rabia; Nosheen, Ammara; Pečarić, Josip
2017
Extensions and improvements of Sherman’s and related inequalities for $$n$$-convex functions. Zbl 1368.26018
2017
Weighted integral inequality for the second derivative of $$4$$-convex functions. Zbl 1370.26026
2017
Further development of Hilbert-type inequalities. Selected topics in Hilbert-type inequalities. Zbl 1412.26002
Batbold, Tserendorj; Krnić, Mario; Pečarić, Josip; Vuković, Predrag
2017
Levinson’s type generalization of the Jensen inequality and its converse for real Stieltjes measure. Zbl 1354.26042
Mikić, Rozarija; Pečarić, Josip; Rodić, Mirna
2017
A note on generalized Mercer’s inequality. Zbl 1367.26042
Khan, Asif R.; Pečarić, Josip; Praljak, Marjan
2017
Generalization of Jensen’s and Jensen-Steffensen’s inequalities and their converses by Lidstone’s polynomial and majorization theorem. Zbl 1413.26038
Aras-Gazić, Gorana; Pečaric, Josip; Vukelić, Ana
2017
Some mappings related to Levinson’s inequality for Hilbert space operators. Zbl 07409340
2017
Generalizations of Sherman’s inequality by Lidstone’s interpolating polynomial. Zbl 1331.26033
Agarwal, Ravi P.; Ivelić Bradanović, Slavica; Pečarić, Josip
2016
Generalization of Popoviciu-type inequalities via Fink identity. Zbl 1347.26038
Butt, Saad Ihsan; Pečarić, Josip; Vukelić, Ana
2016
Cyclic refinements of the discrete and integral form of Jensen’s inequality with applications. Zbl 1351.26021
Horváth, László; Khan, Khuram Ali; Pečarić, Josip
2016
Strengthened converses of the Jensen and Edmundson-Lah-Ribarič inequalities. Zbl 1387.47018
Krnić, Mario; Mikić, Rozarija; Pečarić, Josip
2016
On Sherman’s type inequalities for $$n$$-convex function with applications. Zbl 1355.26028
2016
Popoviciu type inequalities via Hermite’s polynomial. Zbl 1353.26014
Butt, Saad Ihsan; Khan, Khuram Ali; Pečarić, Josip
2016
Cyclic refinements of the different versions of operator Jensen’s inequality. Zbl 1348.47016
Horvath, László; Khan, Khuram A.; Pečarić, Josip
2016
On an upper bound for Sherman’s inequality. Zbl 1345.26035
Ivelić Bradanović, Slavica; Latif, Naveed; Pečarić, Josip
2016
Generalizations of Sherman’s inequality by Hermite’s interpolating polynomial. Zbl 1353.26026
2016
Popoviciu type inequalities via Green function and Taylor polynomial. Zbl 1424.26036
Butt, Saad Ihsan; Khan, Khuram Ali; Pečarić, Josip
2016
Superadditivity and monotonicity of the Jensen-type functionals. New methods for improving the Jensen-type inequalities in real and in operator cases. Zbl 1358.26001
Krnić, Mario; Lovričević, Neda; Pečarić, Josip; Perić, Jurica
2016
Popoviciu type inequalities for $$n$$-convex functions via extension of Montgomery identity. Zbl 1389.26023
Khan, Asif R.; Pečarić, Josip; Praljak, Marjan
2016
Generalization of Jensen’s and Jensen-Steffensen’s inequalities and their converses by Hermite’s polynomial and majorization theorem. Zbl 1377.26022
Aras-Gazić, G.; Pečarić, J.; Vukelić, A.
2016
Reversed Hardy inequality for $$C$$-monotone functions. Zbl 1348.26015
Butt, Saad Ihsan; Pečarić, Josip; Praljak, Marjan
2016
Levinson’s type generalization of the Edmundson-Lah-Ribarič inequality. Zbl 1331.60039
Jakšić, Rozarija; Pečarić, Josip
2016
Some measure theoretic aspects of Steffensen’s and reversed Steffensen’s inequality. Zbl 1334.26048
Jakšetić, Julije; Pečarić, Josip; Kalamir, Ksenija Smoljak
2016
Hermite interpolation and inequalities involving weighted averages of $$n$$-convex functions. Zbl 1353.26031
Pečarić, Josip; Praljak, Marjan
2016
Majorization type inequalities via Green function and Hermite’s polynomial. Zbl 1463.26058
Khan, M. Adil; Latif, N.; Pečarić, J.
2016
Generalizations of Steffensen’s inequality by Lidstone’s polynomials. Zbl 1387.26045
Pečarić, J.; Perušić, A.; Smoljak, K.
2016
The weighted reverse Poincaré-type estimates for the difference of two convex vectors. Zbl 1347.26029
Saleem, Muhammad Shoaib; Pečarić, Joseph; Hussain, Sultan; Khan, Muhammad Wahab; Hussain, Abid
2016
Estimations of the difference between two weighted integral means and apllication of the Steffensen’s inequality. Zbl 1413.26060
Kovač, Sanja; Pečarić, Josip; Perušić, Anamarija
2016
Exponential convexity for Jensen’s inequality for norms. Zbl 1336.26009
Jakšetić, Julije; Naeem, Rishi; Pečarić, Josip
2016
Some new Hardy type inequalities with general kernels. II. Zbl 1334.26036
Krulić Himmelreich, Kristina; Pečarić, Josip
2016
...and 671 more Documents
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### Cited in 335 Serials

 365 Journal of Inequalities and Applications 166 Journal of Mathematical Analysis and Applications 109 Applied Mathematics and Computation 83 Linear Algebra and its Applications 81 Computers & Mathematics with Applications 59 Applied Mathematics Letters 57 Abstract and Applied Analysis 55 Journal of Function Spaces 48 AIMS Mathematics 46 Advances in Difference Equations 39 Journal of Mathematical Inequalities 35 Mathematical Inequalities & Applications 34 Aequationes Mathematicae 33 Linear and Multilinear Algebra 33 Mediterranean Journal of Mathematics 32 Rocky Mountain Journal of Mathematics 32 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 31 Mathematical and Computer Modelling 27 Journal of Computational and Applied Mathematics 26 Journal of Mathematics 25 Proceedings of the American Mathematical Society 25 Results in Mathematics 24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 23 Bulletin of the Australian Mathematical Society 21 Journal of Applied Mathematics 20 Journal of Nonlinear Science and Applications 19 Periodica Mathematica Hungarica 17 International Journal of Mathematics and Mathematical Sciences 17 Journal of Approximation Theory 17 Integral Transforms and Special Functions 16 Ukrainian Mathematical Journal 16 Tbilisi Mathematical Journal 15 Positivity 14 Fractals 14 Proyecciones 13 Open Mathematics 12 The ANZIAM Journal 12 Asian-European Journal of Mathematics 12 Problemy Analiza. Issues of Analysis 11 Rendiconti del Circolo Matemàtico di Palermo. Serie II 11 Filomat 11 Fractional Differential Calculus 11 International Journal of Analysis and Applications 10 Fasciculi Mathematici 10 Mathematical Problems in Engineering 10 Kragujevac Journal of Mathematics 10 Banach Journal of Mathematical Analysis 9 Acta Mathematica Sinica. English Series 9 Journal of Function Spaces and Applications 9 Annals of Functional Analysis 9 Cogent Mathematics 8 Mathematical Notes 8 Demonstratio Mathematica 8 Information Sciences 8 Mathematische Nachrichten 8 Statistics & Probability Letters 8 Acta Mathematica Hungarica 8 Journal of Applied Mathematics and Computing 8 Applicable Analysis and Discrete Mathematics 8 Korean Journal of Mathematics 7 Indian Journal of Pure & Applied Mathematics 7 Czechoslovak Mathematical Journal 7 Journal of Multivariate Analysis 7 Mathematica Slovaca 7 Arab Journal of Mathematical Sciences 7 Journal of Applied Analysis 7 Soft Computing 7 Analysis (München) 7 Annales Mathematicae Silesianae 7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 7 Complex Analysis and Operator Theory 7 Afrika Matematika 6 Journal of Mathematical Physics 6 Chaos, Solitons and Fractals 6 Archiv der Mathematik 6 Fuzzy Sets and Systems 6 Journal of Geometry 6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 6 Expositiones Mathematicae 6 The Journal of Analysis 6 Journal of Mathematical Sciences (New York) 6 Journal of the Egyptian Mathematical Society 6 Georgian Mathematical Journal 6 Honam Mathematical Journal 6 Mathematica Moravica 6 Nihonkai Mathematical Journal 6 The Journal of Prime Research in Mathematics 6 Arabian Journal of Mathematics 6 Chinese Journal of Mathematics 6 Advances in Operator Theory 5 Applicable Analysis 5 Mathematics of Computation 5 Journal of Statistical Planning and Inference 5 Computational and Applied Mathematics 5 Boletín de la Sociedad Matemática Mexicana. Third Series 5 Central European Journal of Mathematics 5 Journal of Applied Mathematics & Informatics 5 Journal of Applied Analysis and Computation 5 Mathematical Sciences 5 Transactions of A. Razmadze Mathematical Institute ...and 235 more Serials
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### Cited in 54 Fields

 1,873 Real functions (26-XX) 354 Operator theory (47-XX) 217 Special functions (33-XX) 142 Linear and multilinear algebra; matrix theory (15-XX) 139 Approximations and expansions (41-XX) 133 Ordinary differential equations (34-XX) 128 Numerical analysis (65-XX) 120 Difference and functional equations (39-XX) 119 Functional analysis (46-XX) 98 Probability theory and stochastic processes (60-XX) 76 Partial differential equations (35-XX) 76 Information and communication theory, circuits (94-XX) 63 Statistics (62-XX) 58 Convex and discrete geometry (52-XX) 49 Measure and integration (28-XX) 45 Number theory (11-XX) 45 Integral equations (45-XX) 39 Combinatorics (05-XX) 38 Integral transforms, operational calculus (44-XX) 36 Geometry (51-XX) 28 Operations research, mathematical programming (90-XX) 26 Functions of a complex variable (30-XX) 23 Harmonic analysis on Euclidean spaces (42-XX) 23 Systems theory; control (93-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 18 Sequences, series, summability (40-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 Fluid mechanics (76-XX) 13 Computer science (68-XX) 12 Dynamical systems and ergodic theory (37-XX) 12 Quantum theory (81-XX) 8 Potential theory (31-XX) 7 Mechanics of deformable solids (74-XX) 7 Biology and other natural sciences (92-XX) 6 General topology (54-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Differential geometry (53-XX) 5 Global analysis, analysis on manifolds (58-XX) 3 Mathematical logic and foundations (03-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Algebraic geometry (14-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Abstract harmonic analysis (43-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Geophysics (86-XX) 2 History and biography (01-XX) 2 Topological groups, Lie groups (22-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 2 Astronomy and astrophysics (85-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic topology (55-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX)

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