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Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, No. 515=17, 2013.

Original scientific paper

On some conversions of the Jensen-Steffensen inequality

Slavica Ivelić ; Faculty of Civil Engineering and Architecture, University of Split, Matice hrvatske 15, 21000 Split, Croatia
Josip Pečarić ; Faculty of Textile Technology, University of Zagreb, Prilaz Baruna Filipovi´ca 30, 10000 Zagreb, Croatia

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page 107-122

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Abstract

Some conversions of the Jensen-Steffensen inequality
for convex functions are considered. Applying exp-convex method
improvements and reverses of the Slater-Pečarić inequality are obtained.
Related Cauchy’s type means are defined and some basic
properties are given.

Keywords

Cauchy’s means; convex functions; Jensen-Steffensen inequality; Slater-Pečarić inequality

Hrčak ID:

104411

URI

https://hrcak.srce.hr/104411

Publication date:

27.6.2013.

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