Estimating the Hardy constant of nonconcave homogeneous quasideviation means
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 sufficient conditions for the Hardy property of the homogeneous quasideviation mean and we also furnish an upper estimates for its Hardy constant.
Keywords
Hardy inequality; Hardy constant; homogeneous quasideviation mean; Jensen concavity
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Institute of Mathematics, University of Debrecen Hungary
https://orcid.org/0000-0003-2382-6035
Instytut Matematyki, Uniwersytet Komisji Edukacji Narodowej w Krakowie Poland
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