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EXPONENTIAL CONVEXITY FOR DIVIDED DIFFERENCES RELATED TO HERMITE–HADAMARD INEQUALITIES

Mechanical Engineering Faculty in Slavonski Brod, University of Osijek, Trg Ivane Brlić Mažuranić 2, 35000 Slavonski Brod, Croatia

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J. Pečarić

Faculty of Textile Technology, University of Zagreb, Pierottijeva 6, 10000 Zagreb, Croatia

Abdus Salam School of Mathematical Sciences, GC University, Lahore Gulberg 54660, Pakistan

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, and

A. Vukelić

Faculty of Food Technology and Biotechnology, University of Zagreb, Pierottijeva 6, 10000 Zagreb, Croatia

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https://doi.org/10.1142/S1793557112500568Cited by:0 (Source: Crossref)

Abstract

In this paper we obtain means which involve divided differences for n-convex functions. We examine their monotonicity property using exponentially convex functions.

Keywords:

AMSC: 26D15, 26D20, 26D99

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