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Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, No. 519=18, 2014.

Original scientific paper

On potential inequality for the absolute value of functions

Neven Elezović ; Faculty of Electrical Engineering and Computing, University of Zagreb, Unska 3, 10000 Zagreb, Croatia
Josip Pečarić ; Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovića 28a, 10000 Zagreb, Croatia
Marjan Praljak ; Faculty of Food Technology and Biotechnology, University of Zagreb, Pierottijeva 6, 10000 Zagreb, Croatia

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Abstract

Potential inequality was introduced in [4] and later
extended to the case of general convex and concave functions in [1]. The main goal of this paper is to derive the potential inequality for the case where the function at which the potential is evaluated is replaced by its absolute value. The results obtained, together with methods from [2], are used to construct new families of exponentially convex functions.

Keywords

Potential inequality; exponential convexity

Hrčak ID:

127652

URI

https://hrcak.srce.hr/127652

Publication date:

30.9.2014.

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