engleski

A new Boas-type inequality for monotone convex functions

We state and prove a new Boas-type inequality for monotone convex functions in a context of topological spaces, $sigma$-finite Borel measures and the Hardy-Littlewood average. We manage to constuct this refinement by using the concept of the subdifferential and the assumption of monotonicity of a convex function. With respect to the support of a measure, we give some one-dimensional and multidimensional examples.

Boas inequality; convex function; Borel measure; Hardy-Littlewood average

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