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Journal of Convex Analysis 20 (2013), No. 1, 181--197
Copyright Heldermann Verlag 2013

Exponential Convexity Method

Julije Jaksetic
Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Croatia

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

In this paper generalized Stolarsky and related means are recognized as an application of particulary defined linear functional on family of n-convex function. However, this approach leads to a more general method of constructing exponentially convex functions and means of Cauchy type.

Keywords: Means, n-convex functions, exponential convexity, divided differences.

MSC: 26D15, 26D20, 26D99

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