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Jurica Perić

University of Split

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Applied Mathematics and Computation | 2012

On the converse Jensen inequality

M. Klaričić Bakula; Josip Pečarić; Jurica Perić

We give a survey on the converse Jensen inequality and we show that several recently published inequalities are simple consequences of certain long time known results. We also give a new refinement of the converse Jensen inequality as well as improvements of some related results.

Journal of Inequalities and Applications | 2013

Refined converses of Jensen’s inequality for operators

Jadranka Mićić; Josip Pečarić; Jurica Perić

In this paper converses of a generalized Jensen’s inequality for a continuous field of self-adjoint operators, a unital field of positive linear mappings and real-valued continuous convex functions are studied. New refined converses are presented by using the Mond-Pečarić method improvement. Obtained results are applied to refine selected inequalities with power functions.MSC:47A63, 47A64.

Annals of the University of Craiova - Mathematics and Computer Science Series | 2012

IMPROVEMENTS OF THE GIACCARDI AND THE PETROVIC INEQUALITY AND RELATED STOLARSKY TYPE MEANS

Josip Pečarić; Jurica Perić

Operators and Matrices | 2013

Refined Jensen's operator inequality with condition on spectra

Jadranka Mićić; Josip Pečarić; Jurica Perić

Annals of Functional Analysis | 2012

Extension of the refined Jensen's operator inequality with condition on spectra

Jadranka Mićić; Josip Pečarić; Jurica Perić

Journal of Mathematical Inequalities | 2012

Remarks on the paper "Jensen's inequality and new entropy bounds" of S. Simić

Josip Pečarić; Jurica Perić

Mathematical Inequalities & Applications | 2018

New improvement of the converse Jensen inequality

Josip Pečarić; Jurica Perić

Archive | 2015

Superadditivity and monotonicity of the Jensen-type functionals (New methods for improving the Jensen-type inequalities in real and in operator cases)

Mario Krnić; Neda Lovričević; Josip Pečarić; Jurica Perić

Journal of Mathematical Inequalities | 2015

A refinement of the Jessen-Mercer inequality and a generalization on convex hulls in R^k

Anita Matković; Josip Pečarić; Jurica Perić

Journal of Mathematical Inequalities | 2015

Improvements of the Hermite–Hadamard inequality on time scales

Rabia Bibi; Josip Pečarić; Jurica Perić

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Collaboration

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Josip Pečarić

University of Zagreb

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Jadranka Mićić

University of Zagreb

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Anita Matković

University of Split

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M. Klaričić Bakula

University of Split

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Mario Krnić

University of Zagreb

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Milica Klaričić Bakula

University of Split

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Neda Lovričević

University of Split

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Rabia Bibi

University of Azad Jammu and Kashmir

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