engleski

Stolarsky type means related to generalizations of Steffensen's and Gauss' inequality

In this talk functionals defined as the difference between the left-hand and the right-hand side of generalizations of Steffensen’s and Gauss’ inequality are studied. n−exponential and exponential, as well as logarithmic convexity of this functionals is proven. Furthermore, using this functionals, Stolarsky type means for several families of functions are generated and their monotonicity property is proven.

Steffensen inequality; Gauss inequality; Stolarsky type means; exponential convexity

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