engleski

Gauss-Steffensen's means

In this paper we define a functional as a difference between the left-hand side and the right-hand side of the Gauss-Steffensen inequality and study its properties, such as exponential and logarithmic convexity. Furthermore, using this functional, new Gauss-Steffensen's means are generated and their monotonicity property is proven.

Steffensen inequality; Gauss inequality; monotone function; means

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