engleski

Multidimensional reversed Hardy type inequalities for monotone functions

In this paper, we will give some multidimensional generalization of reversed Hardy type inequalities for monotone functions. Moreover, we will give n-exponential convexity, exponential convexity and related results for some functionals obtained from the differences of these inequalities. At the end we will give mean value theorems and Cauchy means for these functionals.

Convex function; log-convex functions; power sums; mean value theorems

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