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## Pečarić, Josip

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 Author ID: pecaric.josip-e Published as: Pečarić, Josip; Pečarić, J.; Pečarić, Josip E.; Pečarić, J. E.; Pecarić, Josip; Pecaric, Josip; Pečarič, J.; Pečaric, Josip; Pečarič, Josip; Pečaric, J.; Pečarić, Josif E.; Pecarić, Josip E.; Pecǎrić, Josip E.; Pečarić, Joseph; Pečarič, J. E.; Pećarić, Josip; Pecǎrić, Josip; Pečarić, J. V.; Pečarić, J. E; Pecaric, J. Homepage: https://www.math.pmf.unizg.hr/hr/josip-pe%C4%8Dari%C4%87 External Links: MGP · Math-Net.Ru · Wikidata · ResearchGate · dblp · GND
 Documents Indexed: 1,260 Publications since 1977, including 30 Books Reviewing Activity: 138 Reviews Biographic References: 4 Publications
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#### Serials

 139 Mathematical Inequalities & Applications 76 Journal of Mathematical Inequalities 63 Journal of Mathematical Analysis and Applications 55 Journal of Inequalities 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 19 Linear Algebra and its Applications 19 Monographs in Inequalities 16 Matematichki Bilten 15 Publikacije Elektrotehnickog Fakulteta. Univerzitat u Beogradu. Serija Matematika i Fizika 15 Southeast Asian Bulletin of Mathematics 15 The ANZIAM Journal 13 Periodica Mathematica Hungarica 12 Houston Journal of Mathematics 12 Studia Universitatis Babeş-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 Revue d’Analyse Numérique et de Théorie de l’Approximation 11 Nonlinear Functional Analysis and Applications 10 Analele Universităţii din Craiova. Seria Matematică Informatică 9 Bulletin of the Australian Mathematical Society 9 Journal of the Australian Mathematical Society, Series B 9 Aequationes Mathematicae 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 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 Banach Journal of Mathematical Analysis 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 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 Ukrainian Mathematical Journal 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 Ştiinţific şi Tehnic al Institutului Politehnic “Traian Vuia” Timişoara. 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 Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. Serie Nouă. Matematică 4 Advanced Studies in Contemporary Mathematics (Kyungshang) 4 Communications in Mathematical Analysis 4 Annals of Functional Analysis 3 American Mathematical Monthly 3 Indian Journal of Pure & Applied Mathematics 3 Linear and Multilinear Algebra 3 Mathematical Notes 3 Revue Roumaine de Mathématiques Pures et Appliquées 3 Acta Mathematica Vietnamica 3 Analele Universităţii din Timişoara. Ştiinţe 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 Universităţii din Timişoara. Seria Matematică-Informatică 3 Fractional Calculus & Applied Analysis 3 Tamsui Oxford Journal of Mathematical Sciences 3 Communications of the Korean Mathematical Society 3 Central European Journal of Mathematics 3 Journal of Function Spaces and Applications 3 Miskolc Mathematical Notes ...and 132 more Serials
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#### Fields

 1,083 Real functions (26-XX) 109 Operator theory (47-XX) 57 Numerical analysis (65-XX) 57 Information and communication theory, circuits (94-XX) 52 Functional analysis (46-XX) 51 Linear and multilinear algebra; matrix theory (15-XX) 50 Difference and functional equations (39-XX) 47 Approximations and expansions (41-XX) 28 Special functions (33-XX) 25 Probability theory and stochastic processes (60-XX) 19 Ordinary differential equations (34-XX) 15 Measure and integration (28-XX) 13 Geometry (51-XX) 10 Functions of a complex variable (30-XX) 10 Convex and discrete geometry (52-XX) 8 Sequences, series, summability (40-XX) 7 Partial differential equations (35-XX) 6 Integral equations (45-XX) 4 History and biography (01-XX) 4 Combinatorics (05-XX) 4 Potential theory (31-XX) 3 Number theory (11-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 General and overarching topics; collections (00-XX) 2 Abstract harmonic analysis (43-XX) 2 General topology (54-XX) 2 Statistics (62-XX) 1 Differential geometry (53-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

687 Publications have been cited 4,307 times in 2,210 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
Some inequalities of Hadamard type. Zbl 0834.26009
Dragomir, Sever Silvestru; Pečarić, Josip E.; Persson, L. E.
1995
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
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
Generalization of Hilbert and Hardy-Hilbert integral inequalities. Zbl 1078.26019
Yang, Bicheng; Brnetić, Ilko; Krnić, Mario; Pečarić, Josip
2005
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
Convex inequalities in Hilbert space. Zbl 0813.46016
Mond, B.; Pečarić, J. E.
1993
A variant of Jensen’s inequality of Mercer’s type for operators with applications. Zbl 1105.47017
Matković, A.; Pečarić, J.; Perić, I.
2006
On Jessen’s inequality for convex functions. Zbl 0591.26009
Beesack, Paul R.; Pečarić, Josip E.
1985
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
Improvement and further generalization of inequalities of Ostrowski-Grüss type. Zbl 0952.26013
Matić, M.; Pečarić, J.; Ujević, N.
2000
Abstract Cauchy problem for fractional functional differential equations. Zbl 1292.34075
Zhou, Yong; Jiao, Feng; Pečarić, Josip
2013
Properties of some functionals related to Jensen’s inequality. Zbl 0847.26013
Dragomir, Sever Silvestru; Pečarić, Josip E.; Persson, L. E.
1996
Generalizations of some inequalities of Ostrowski-Grüss type. Zbl 0978.26011
Pearce, C. E. M.; Pečarić, J.; Ujević, N.; Varošanec, S.
2000
General Hilbert’s and Hardy’s inequalities. Zbl 1079.26018
Krnić, Mario; Pečarić, Josip
2005
Hadamard type inequalities for $$m$$-convex and $$(\alpha,m)$$-convex functions. Zbl 1163.26327
Klaričić Bakula, M.; Özdemir, M. E.; Pečarić, Josip E.
2008
A generalization of Hadamard’s inequality for isotonic linear functionals. Zbl 0738.26006
Pečarić, Josip E.; Dragomir, Sever S.
1991
Exponential convexity method. Zbl 1275.26038
Jakšetić, Julije; Pečarić, Josip
2013
Improvements of the Giaccardi and the Petrović inequality and related Stolarsky type means. Zbl 1274.26069
Pečarić, Josip; Perić, Jurica
2012
The bounds on the solutions of certain two-dimensional delay dynamic systems on time scales. Zbl 1219.34118
Ma, Qing-Hua; Pečarić, Josip
2011
Stolarsky means and Hadamard’s inequality. Zbl 0909.26011
Pearce, C. E. M.; Pečarić, J.; Šimić, V.
1998
On strengthened Hardy and Pólya-Knopp’s inequalities. Zbl 1034.26008
Čižmešija, Aleksandra; Pečarić, Josip; Persson, Lars-Erik
2003
Estimates on solutions of some new nonlinear retarded Volterra-Fredholm type integral inequalities. Zbl 1151.26330
Ma, Qing-Hua; Pečarić, Josip
2008
On generalizations of Ostrowski inequality via some Euler-type identities. Zbl 0965.26014
Dedić, Lj.; Matić, M.; Pečarić, J.
2000
On some higher-dimensional Hilbert’s and Hardy-Hilbert’s integral inequalities with parameters. Zbl 1182.26060
Krnić, Mario; Pečarić, Josip; Vuković, Predrag
2008
Abramovich, Shoshana; Barić, Josipa; Pečarić, Josip
2008
A matrix version of the Ky Fan generalization of the Kantorovich inequality. Zbl 0791.15015
Mond, B.; Pečarić, J. E.
1994
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
Some new Hardy type inequalities with general kernels. Zbl 1177.26038
Krulić, Kristina; Pečarić, Josip; Persson, Lars-Erik
2009
On the Jensen inequality for monotone functions. Zbl 0446.26014
Vasić, Petar M.; Pečarić, Josip E.
1979
Minkowski and Beckenbach-Dresher inequalities and functionals on time scales. Zbl 1277.26033
Bibi, Rabia; Bohner, Martin; Pečarić, Josip; Varošanec, Sanja
2013
Extension of Hilbert’s inequality. Zbl 1112.26019
Krnić, Mario; Pečarić, Josip
2006
On Euler trapezoid formulae. Zbl 1024.65002
Dedić, Lj.; Matić, M.; Pečarić, J.
2001
Popoviciu type inequalities via Green function and generalized Montgomery identity. Zbl 1331.26026
Butt, Saad Ihsan; Khan, Khuram Ali; Pečarić, Josip
2015
Improved arithmetic-geometric and Heinz means inequalities for Hilbert space operators. Zbl 1275.47038
Kittaneh, Fuad; Krnić, Mario; Lovričević, Neda; Pečarić, Josip
2012
Integral inequalities on time scales via the theory of isotonic linear functionals. Zbl 1221.26026
Anwar, Matloob; Bibi, Rabia; Bohner, Martin; Pečarić, Josip
2011
Classical inequalities for matrix functions. Zbl 0823.15018
Mond, B.; Pečarić, J. E.
1994
A note on Schur-convex functions. Zbl 0978.26013
Elezović, N.; Pečarić, J.
2000
A generalization of Maclaurin’s inequalities and its application. Zbl 1087.26019
Pečarić, Josip; Wen, Jiajin; Wang, Wan-lan; Lu, Tao
2005
Note on a class of functions of Godunova and Levin. Zbl 0701.26015
Mitrinović, D. S.; Pečarić, J. E.
1990
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
Carleman’s inequality: History and new generalizations. Zbl 0990.26016
Pečarić, Josip; Stolarsky, Kenneth B.
2001
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
Note on some Hadamard-type inequalities. Zbl 1055.26017
Klaričić Bakula, M.; Pečarić, J.
2004
Generalization of the power means and their inequalities. Zbl 0753.26009
Pečarić, Josip E.
1991
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
On the Čebyšev inequality. Zbl 0478.26009
Pečarić, Josip E.
1980
Inequalities for the gamma function relating to asymptotic expansions. Zbl 1036.26013
Allasia, G.; Giordano, C.; Pečarić, J.
2002
A variant of Jensen-Steffensen’s inequality and quasi-arithmetic means. Zbl 1066.26012
Abramovich, S.; Klaričić Bakula, M.; Matić, M.; Pečarić, J.
2005
Exponential convexity, positive semi-definite matrices and fundamental inequalities. Zbl 1218.26007
Anwar, M.; Jakšetić, J.; Pečarić, J.; Rehman, Atiq Ur
2010
Some inequalities of Euler-Grüss type. Zbl 0984.26011
Dedić, Lj.; Matić, M.; Pečarić, J.
2001
On Jessen’s inequality for convex functions. II. Zbl 0608.26010
Pečarić, Josip E.; Beesack, Paul R.
1986
Some dynamic Hardy-type inequalities with general kernel. Zbl 1294.26020
Bohner, Martin; Nosheen, Ammara; Pečarić, Josip; Younus, Awais
2014
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
On an inequality of Godunova-Levin and some refinements of Jensen integral inequality. Zbl 0678.26009
Pečarić, Josip E.; Dragomir, Sever S.
1989
A refinement of Jensen inequality and applications. Zbl 0687.26009
Pečarić, Josip E.; Dragomir, Sever S.
1989
On some inequalities for functions with nondecreasing increments. Zbl 0597.26026
Pečarić, Josip E.
1984
A further extension of Mittag-Leffler function. Zbl 1426.33051
Andrić, Maja; Farid, Ghulam; Pečarić, Josip
2019
An inequality for 3-convex functions. Zbl 0508.26008
Pečarić, Josip E.
1982
Jensen’s inequality for operators without operator convexity. Zbl 1216.47026
Mićić, Jadranka; Pavić, Zlatko; Pečarić, Josip
2011
Supplements to known inequalities for some special functions. Zbl 0856.33005
Giordano, Carla; Laforgia, Andrea; Pečarić, Josip
1996
New Hilbert-Pachpatte type integral inequalities. Zbl 0988.26013
Handley, G. D.; Koliha, J. J.; Pečarić, J. E.
2001
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
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
Generalizations of Sherman’s inequality by Lidstone’s interpolating polynomial. Zbl 1331.26033
Agarwal, Ravi P.; Ivelić Bradanović, Slavica; Pečarić, Josip
2016
On generalization of the inequality of A. Ostrowski and some related applications. Zbl 0351.26021
Milovanović, Gradimir V.; Pečarić, Josip E.
1977
Some new refined Hardy type inequalities with general kernels and measures. Zbl 1214.26012
Abramovich, Shoshana; Krulić, Kristina; Pečarić, Josip; Persson, Lars-Erik
2010
Superquadratic functions and refinements of some classical inequalities. Zbl 1158.26308
Banić, Senka; Pečarić, Josip; Varošanec, Sanja
2008
On Gram’s determinant in 2-inner product spaces. Zbl 1025.46016
Cho, Y. J.; Matić, M.; Pečarić, J.
2001
Sharpening Hölder’s inequality. Zbl 0890.26014
Abramovich, S.; Mond, B.; Pečarić, J. E.
1995
Note on inequalities of Hadamard’s type for Lipschitzian mappings. Zbl 0993.26019
Matić, M.; Pečarić, J.
2001
Unified treatment of Gautchi-Kershaw type inequalities for the gamma function. Zbl 0932.33001
Giordano, C.; Laforgia, A.; Pečarić, J.
1998
Jessen’s functional, its properties and applications. Zbl 1274.26058
Krnić, Mario; Lovričević, Neda; Pečarić, Josip
2012
Multiplicative inequalities of Carlson type and interpolation. Zbl 1102.41001
2006
Multiple Hilbert and Hardy-Hilbert inequalities with non-conjugate parameters. Zbl 1079.26013
Brnetić, Ilko; Krnić, Mario; Pečarić, Josip
2005
On the best constant in Hilbert’s inequality. Zbl 1078.26016
Krnić, Mario; Gao, Mingzhe; Pečarić, Josip; Gao, Xuemei
2005
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
Generalization of Jensen’s and Jensen-Steffensen’s inequalities by generalized majorization theorem. Zbl 1386.26028
Khan, M. Adil; Khan, Jamroz; Pečarić, Josip
2017
Bounds for Shannon and Zipf-Mandelbrot entropies. Zbl 1381.26027
2017
Generalizations of Sherman’s inequality. Zbl 1399.26042
2017
On a Jensen-Mercer operator inequality. Zbl 1221.47031
Ivelić, S.; Matković, A.; Pečarić, J.
2011
Abramovich, S.; Farid, G.; Pečarić, J.
2010
The Dunkl-Williams inequality with $$n$$ elements in normed linear spaces. Zbl 1120.26025
Pečarić, Josip; Rajić, Rajna
2007
Bohr’s inequalities for Hilbert space operators. Zbl 1108.26018
Cheung, Wing-Sum; Pečarić, Josip
2006
A refinement of the discrete Jensen’s inequality. Zbl 1229.26026
Horváth, László; Pečarić, Josip
2011
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
Complementary inequalities to inequalities of Jensen and Ando based on the Mond-Pečarić method. Zbl 0971.47014
Mićić, Jadranka; Pečarić, Josip; Seo, Yuki
2000
Converses of Jensen’s inequality for several operators. Zbl 0847.47016
Mond, B.; Pečarić, J. E.
1994
Stolarsky’s inequality with general weights. Zbl 0824.26012
Maligranda, Lech; Pečarić, Josip E.; Persson, Lars Erik
1995
On Jensen’s inequality for operator convex functions. Zbl 0846.47015
Mond, B.; Pečarić, J. E.
1995
Differential and integral $$f$$-means and applications to digamma function. Zbl 0952.26010
Elezović, Neven; Pečarić, Josip
2000
A note on Chung’s strong law of large numbers. Zbl 0896.60016
Jardas, Cvetan; Pečarić, Josip; Sarapa, Nikola
1998
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
Some new improvements of Jensen’s inequality. Jensen’s type inequalities in information theory. Zbl 1439.26008
2020
A further extension of Mittag-Leffler function. Zbl 1426.33051
Andrić, Maja; Farid, Ghulam; Pečarić, Josip
2019
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
Generalizations of Sherman’s inequality via Fink’s identity and Green’s function. Zbl 1423.26028
Ivelić Bradanović, S.; Latif, N.; Pečarić, J.
2019
Hybrid Zipf-Mandelbrot law. Zbl 1412.94136
Jakšetić, Julije; Pečarić, Đilda; Pečarić, Josip
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
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
Majorization inequality and information theory. Selected topics of majorization and applications. Zbl 1439.26004
2019
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
Zipf-Mandelbrot law, $$f$$-divergences and the Jensen-type interpolating inequalities. Zbl 1412.94137
Lovričević, Neda; 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
Majorization, “useful” Csiszár divergence and “useful” Zipf-Mandelbrot law. Zbl 1412.94131
Latif, Naveed; 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
Generalization of Jensen’s and Jensen-Steffensen’s inequalities by generalized majorization theorem. Zbl 1386.26028
Khan, M. Adil; Khan, Jamroz; Pečarić, Josip
2017
Bounds for Shannon and Zipf-Mandelbrot entropies. Zbl 1381.26027
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
Generalizations of Sherman’s inequality by Montgomery indentity and Green function. Zbl 1371.26024
Adil Khan, M.; Khan, Jamroz; Pečarić, J.
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
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
Improved Jensen-type inequalities via linear interpolation and applications. Zbl 1368.26021
Choi, Daeshik; Krnić, Mario; Pečarić, Josip
2017
Extensions and improvements of Sherman’s and related inequalities for $$n$$-convex functions. Zbl 1368.26018
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
Hardy-type inequalities for generalized fractional integral operators. Zbl 1358.26009
2017
A note on generalized Mercer’s inequality. Zbl 1367.26042
Khan, Asif R.; Pečarić, Josip; Praljak, Marjan
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
Weighted integral inequality for the second derivative of $$4$$-convex functions. Zbl 1370.26026
2017
On some Hardy-type inequalities for fractional calculus operators. Zbl 1370.26042
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
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
On Sherman’s type inequalities for $$n$$-convex function with applications. Zbl 1355.26028
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 an upper bound for Sherman’s inequality. Zbl 1345.26035
Ivelić Bradanović, Slavica; Latif, Naveed; 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
Generalizations of Sherman’s inequality by Hermite’s interpolating polynomial. Zbl 1353.26026
2016
Popoviciu type inequalities via Hermite’s polynomial. Zbl 1353.26014
Butt, Saad Ihsan; Khan, Khuram Ali; Pečarić, Josip
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
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 via Green function and Taylor polynomial. Zbl 1424.26036
Butt, Saad Ihsan; Khan, Khuram Ali; Pečarić, Josip
2016
Refinements of Hardy-type integral inequalities with kernels. Zbl 1357.26035
Iqbal, Sajid; Krulić Himmelreich, Kristina; Pečarić, Josip
2016
Generalized Opial-type inequalities for differential and integral operators with special kernels in fractional calculus. Zbl 1354.26009
Farid, G.; Pečarić, J.; Tomovski, Ž.
2016
Hermite interpolation of composition function and Steffensen-type inequalities. Zbl 1354.26024
Fahad, Asfand; Pečarić, Josip; Praljak, Marjan
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
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
Reversed Hardy inequality for $$C$$-monotone functions. Zbl 1348.26015
Butt, Saad Ihsan; Pečarić, Josip; Praljak, Marjan
2016
Hermite interpolation and inequalities involving weighted averages of $$n$$-convex functions. Zbl 1353.26031
Pečarić, Josip; Praljak, Marjan
2016
Levinson’s type generalization of the Edmundson-Lah-Ribarič inequality. Zbl 1331.60039
Jakšić, Rozarija; Pečarić, Josip
2016
Exponential convexity for Jensen’s inequality for norms. Zbl 1336.26009
Jakšetić, Julije; Naeem, Rishi; 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
Generalizations of Steffensen’s inequality by Lidstone’s polynomials. Zbl 1387.26045
Pečarić, J.; Perušić, A.; Smoljak, K.
2016
Popoviciu type inequalities via Green function and generalized Montgomery identity. Zbl 1331.26026
Butt, Saad Ihsan; Khan, Khuram Ali; Pečarić, Josip
2015
Generalization of Levinson’s inequality. Zbl 1314.26027
Baloch, Imran Abbas; Pečarić, Josip; Praljak, Marjan
2015
Refinement of Jensen’s inequality with applications to cyclic mixed symmetric means and Cauchy means. Zbl 1331.26025
Brnetić, Ilko; Khan, Khuram Ali; Pečarić, Josip
2015
Generalized Levinson’s inequality and exponential convexity. Zbl 1333.26027
Pečarić, Josip; Praljak, Marjan; Witkowski, Alfred
2015
Linear operators inequality for $$n$$-convex functions at a point. Zbl 1331.26016
Pečarić, Josip; Praljak, Marjan; Witkowski, Alfred
2015
Jensen inequalities on time scales: theory and applications. Zbl 1337.26002
Barić, Josipa; Bibi, Rabia; Bohner, Martin; Nosheen, Ammara; Pečarić, Josip
2015
Cauchy-type means and exponential and logarithmic convexity for superquadratic functions on time scales. Zbl 1453.26018
Bibi, Rabia; Bohner, Martin; Pečarić, Josip
2015
Generalization of Popoviciu inequality for higher order convex functions via Taylor polynomial. Zbl 1374.26037
Butt, Saad Ihsan; Khan, Khuram Ali; Pečarić, Josip
2015
Generalization of majorization theorem. Zbl 1333.26023
Khan, M. Adil; Latif, N.; Pečarić, J.
2015
On some new converses of the Jensen and the Lah-Ribarić operator inequality. Zbl 1394.47027
Jakšić, Rozarija; Krnić, Mario; Pečarić, Josip
2015
Levinson’s inequality for Hilbert space operators. Zbl 1357.47018
Mićić, Jadranka; Pečarić, Josip; Praljak, Marjan
2015
Opial-type inequalities for fractional integral operator involving Mittag-Leffler function. Zbl 1412.26047
Farid, Ghulam; Pečarić, Josip; Tomovski, Zivorad
2015
Steffensen’s inequality for positive measures. Zbl 1321.26049
Jakšetić, Julije; Pečarić, Josip
2015
Opial type integral inequalities for Widder derivatives and linear differential operators. Zbl 1386.26003
Farid, Ghulam; Pečarić, Josip
2015
New Steffensen type inequalities involving convex functions. Zbl 1308.26038
Pečarić, Josip; Kalamir, Ksenija Smoljak
2015
Some Grüss type inequalities and corrected three-point quadrature formulae of Euler type. Zbl 1310.26020
Klaričić Bakula, Milica; Pečarić, Josip; Ribičić Penava, Mihaela; Vukelić, Ana
2015
Steffensen’s generalization of Čebyčev inequality. Zbl 1314.26025
Awan, K. M.; Pečarić, J.; ur Rehman, Atiq
2015
Applications of refined Hardy-type inequalities. Zbl 1331.26037
Iqbal, Sajid; Pečarić, Josip; Samraiz, Muhammad; Sultana, Nazra
2015
Reverse Poincaré-type inequalities for the difference of superharmonic functions. Zbl 1333.31008
Pečarić, Josip; Shoaib Saleem, Muhammad; Ur Rehman, Hamood; Nizami, Abdul Majeed; Hussain, Abid
2015
An Opial-type integral inequality and exponentially convex functions. Zbl 1412.26033
Andrić, Maja; Barbir, Ana; Iqbal, Sajid; Pečarić, Josip
2015
On generalization of an integral inequality and its applications. Zbl 1339.26050
Farid, Ghulam; Iqbal, Sajid; Pečarić, Josip
2015
On generalizations of majorization inequality. Zbl 1321.26045
Adil Khan, M.; Latif, N.; Pečarić, J.
2015
On weighted generalization of the Hermite-Hadamard inequality. Zbl 1326.26046
Jakšić, Rozarija; Kvesić, Ljiljanka; Pečarić, Josip
2015
Weak monotonicity and Chebyshev type inequality. Zbl 1307.26045
Wen, Jia Jin; Pečarić, Josip; Han, Tian Yong
2015
Superadditivity of the Levinson functional and applications. Zbl 1363.26036
Krnić, Mario; Lovričević, Neda; Pečarić, Josip
2015
Multiple Opial-type inequalities for general kernels with applications. Zbl 1314.26032
Iqbal, Sajid; Pečarić, Josip; Samraiz, Muhammad
2015
Reverses of Ando and Davis-Choi inequality. Zbl 1323.47015
Mikić, R.; Pečarić, J.; Perić, I.
2015
New estimations of the remainder in three-point quadrature formulae of Euler type. Zbl 1331.26039
Klaričić Bakula, M.; Pečarić, J.; Ribičić Penava, M.; Vukelić, A.
2015
Some inequalities for the Čebyšev functional and Euler two-point formulae. Zbl 1333.26026
Pečarić, J.; Vukelić, A.
2015
Generalized Jensen-Steffensen and related inequalities. Zbl 1331.26038
Jakšetić, Julije; Pečarić, Josip; Praljak, Marjan
2015
Generalization of majorization theorem by Hermite’s polynomial. Zbl 1347.26044
Khan, M. Adil; Latif, N.; Pečarić, J.
2015
Weighted Popoviciu type inequalities via generalized Montgomery identities. Zbl 1332.26036
2015
Weighted majorization theorems via generalization of Taylor’s formula. Zbl 1334.26038
Aglić Aljinović, Andrea; Khan, Asif R.; Pečarić, Josip E.
2015
Some dynamic Hardy-type inequalities with general kernel. Zbl 1294.26020
Bohner, Martin; Nosheen, Ammara; Pečarić, Josip; Younus, Awais
2014
Opial-type inequality due to Agarwal-Pang and fractional differential inequalities. Zbl 1288.26003
Andrić, Maja; Barbir, Ana; Farid, Ghulam; Pečarić, Josip
2014
Combinatorial improvements of Jensen’s inequality. Classical and new refinements of Jensen’s inequality with applications. Zbl 1336.26001
Horváth, László; Khan, Khuram Ali; Pečarić, Josip
2014
Steffensen inequality, higher order convexity and exponential convexity. Zbl 1308.26032
Jakšetić, Julije; Pečarić, Josip; Perušić, Anamarija
2014
Uniform treatment of Jensen type inequalities. Zbl 1374.26062
Pečarić, J.; Perić, I.; Rodić Lipanović, M.
2014
More on certain Opial-type inequality for fractional derivatives and exponentially convex functions. Zbl 1308.26009
Andrić, Maja; Barbir, Ana; Farid, Ghulam; Pečarić, Josip
2014
$$n$$-exponential convexity of weighted Hermite-Hadamard’s inequality. Zbl 1297.26043
Butt, Saad Ihsan; Jakšić, Rozarija; Kvesić, Ljiljanka; Pečarić, Josip
2014
More precise estimates for the Jensen operator inequality obtained via the Lah-Ribarič inequality. Zbl 1338.47011
Jakšić, Rozarija; Krnić, Mario; Pečarić, Josip
2014
$$n$$-exponential convexity of some dynamic Hardy-type functionals. Zbl 1295.26033
Khan, Khuram Ali; Nosheen, Ammara; Pečarić, Josip
2014
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#### Cited in 310 Serials

 257 Journal of Inequalities and Applications 165 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 43 Journal of Function Spaces 35 Mathematical Inequalities & Applications 35 Journal of Mathematical Inequalities 32 Mediterranean Journal of Mathematics 31 Mathematical and Computer Modelling 30 Aequationes Mathematicae 29 Rocky Mountain Journal of Mathematics 28 Linear and Multilinear Algebra 26 Journal of Computational and Applied Mathematics 26 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 23 Bulletin of the Australian Mathematical Society 23 Proceedings of the American Mathematical Society 22 Results in Mathematics 22 Journal of Mathematics 21 Journal of Applied Mathematics 20 Journal of Nonlinear Science and Applications 18 Periodica Mathematica Hungarica 17 International Journal of Mathematics and Mathematical Sciences 17 Journal of Approximation Theory 16 Integral Transforms and Special Functions 16 Tbilisi Mathematical Journal 15 Advances in Difference Equations 14 Ukrainian Mathematical Journal 12 The ANZIAM Journal 12 Problemy Analiza. Issues of Analysis 11 International Journal of Analysis and Applications 10 Fasciculi Mathematici 10 Rendiconti del Circolo Matemàtico di Palermo. Serie II 10 Mathematical Problems in Engineering 10 Positivity 10 Banach Journal of Mathematical Analysis 10 Asian-European Journal of Mathematics 10 Fractional Differential Calculus 9 Journal of Function Spaces and Applications 9 Proyecciones 9 Cogent Mathematics 8 Demonstratio Mathematica 8 Information Sciences 8 Mathematische Nachrichten 8 Statistics & Probability Letters 8 Acta Mathematica Sinica. English Series 8 Journal of Applied Mathematics and Computing 7 Mathematical Notes 7 Czechoslovak Mathematical Journal 7 Journal of Applied Analysis 7 Soft Computing 7 Annales Mathematicae Silesianae 7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 7 Korean Journal of Mathematics 6 Indian Journal of Pure & Applied Mathematics 6 Journal of Mathematical Physics 6 Fuzzy Sets and Systems 6 Journal of Multivariate Analysis 6 Acta Mathematica Hungarica 6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 6 Expositiones Mathematicae 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 Analysis (München) 6 Nihonkai Mathematical Journal 6 Annals of Functional Analysis 6 Arabian Journal of Mathematics 6 Chinese Journal of Mathematics 6 Advances in Operator Theory 5 Applicable Analysis 5 Mathematics of Computation 5 Archiv der Mathematik 5 Journal of Geometry 5 Journal of Statistical Planning and Inference 5 The Journal of Analysis 5 Central European Journal of Mathematics 5 Mathematical Sciences 5 Open Mathematics 4 Acta Mathematica Vietnamica 4 Journal of Number Theory 4 Zeitschrift für Analysis und ihre Anwendungen 4 Acta Applicandae Mathematicae 4 Indagationes Mathematicae. New Series 4 Computational and Applied Mathematics 4 Arab Journal of Mathematical Sciences 4 Fractional Calculus & Applied Analysis 4 Discrete Dynamics in Nature and Society 4 Communications of the Korean Mathematical Society 4 Communications in Mathematical Analysis 4 Complex Analysis and Operator Theory 4 Symmetry 4 Journal of Mathematics and Computer Science. JMCS 4 Journal of Applied Mathematics & Informatics 4 Afrika Matematika ...and 210 more Serials
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#### Cited in 55 Fields

 1,539 Real functions (26-XX) 301 Operator theory (47-XX) 183 Special functions (33-XX) 129 Approximations and expansions (41-XX) 124 Linear and multilinear algebra; matrix theory (15-XX) 122 Numerical analysis (65-XX) 111 Functional analysis (46-XX) 103 Ordinary differential equations (34-XX) 94 Probability theory and stochastic processes (60-XX) 93 Difference and functional equations (39-XX) 71 Partial differential equations (35-XX) 60 Information and communication theory, circuits (94-XX) 58 Statistics (62-XX) 46 Convex and discrete geometry (52-XX) 45 Measure and integration (28-XX) 39 Number theory (11-XX) 38 Integral equations (45-XX) 34 Geometry (51-XX) 32 Combinatorics (05-XX) 29 Integral transforms, operational calculus (44-XX) 24 Functions of a complex variable (30-XX) 22 Operations research, mathematical programming (90-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 19 Systems theory; control (93-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 15 Sequences, series, summability (40-XX) 15 Fluid mechanics (76-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Quantum theory (81-XX) 10 Computer science (68-XX) 9 Dynamical systems and ergodic theory (37-XX) 7 Mechanics of deformable solids (74-XX) 6 General topology (54-XX) 6 Statistical mechanics, structure of matter (82-XX) 6 Biology and other natural sciences (92-XX) 5 Global analysis, analysis on manifolds (58-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Potential theory (31-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Abstract harmonic analysis (43-XX) 3 Differential geometry (53-XX) 3 Mechanics of particles and systems (70-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Geophysics (86-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Algebraic geometry (14-XX) 2 Topological groups, Lie groups (22-XX) 2 Optics, electromagnetic theory (78-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-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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