Estimating the Hardy Constant of Nonconcave Homogeneous Quasideviation Means

Páles, Zsolt; Pasteczka, Paweł

doi:10.2478/amsil-2024-0004

Abstract

In this paper, we consider homogeneous quasideviation means generated by real functions (defined on (0, ∞)) which are concave around the point 1 and possess certain upper estimates near 0 and ∞. It turns out that their concave envelopes can be completely determined. Using this description, we establish su˚cient conditions for the Hardy property of the homogeneous quasideviation mean and we also furnish an upper estimates for its Hardy constant.

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Estimating the Hardy Constant of Nonconcave Homogeneous Quasideviation Means

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