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Journal of Mathematical Inequalities
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Improvements of the Hermite-Hadamard inequality on time scales

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2015 Croatia Publisher:Element d.o.o.Journal:Journal of Mathematical Inequalities (issn: 1846-579X, Copyright policy )
Authors: Josip Pečarić; Rabia Bibi; Jurica Perić;

doi: 10.7153/jmi-09-75

Improvements of the Hermite-Hadamard inequality on time scales

Abstract

In this paper we give refinements of converse Jensen’s inequality as well as of the Hermite-Hadamard inequality on time scales. We give mean value theorems and investigate logarithmic and exponential convexity of the linear functionals related to the obtained refinements. We also give several examples which illustrate possible applications for our results.

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Croatia
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Keywords

Hermite–Hadamard inequality, converse Jensen’s inequality, time scale, integration ; time scale ; Hermite–Hadamard inequality ; converse Jensen’s inequality, integration

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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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