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Stolarsky-type means related to generalizations of Steffensen's and Gauss' inequality
Josip Pečarić, Ksenija Smoljak

 

Abstract

In this paper, functionals defined as the difference between the left-hand and the right-hand sides of generalizations of Steffensen’s and Gauss’ inequality are studied. n-exponential and exponential as well as logarithmic convex functions related to defined functionals are produced. Furthermore, several families of exponentially convex functions are investigated, and new Stolarsky-type means related to defined functionals are generated.

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