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
julije@math.hr
Josip Pecaric
Faculty of Textile Technology, University of Zagreb, Pierottijeva 6, 10000 Zagreb, Croatia
pecaric@hazu.hr
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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