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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2008; 45(3): 821-834

Printed May 1, 2008

Copyright © The Korean Mathematical Society.

On a variant of Jensen's inequality for functions with nondecreasing increments

Milica Klaricic Bakula, Anita Matkovic, and Josip Pecaric

University of Split, University of Split, University of Split

Abstract

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Refinements of a variant of Jensen's inequality for functions with nondecreasing increments are presented. Obtained results are used to prove refinements of related variants of \v{C}eby\v{s}ev's inequality and H\"{o}lder's inequality.

Keywords: functions with nondecreasing increments, Jensen's inequality, Cebyvsev's inequality, Holder's inequality

MSC numbers: 26D15, 26B25

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