Published: 2024-02-15

Estimating the Hardy constant of nonconcave homogeneous quasideviation means

Zsolt Páles Logo ORCID , Paweł Pasteczka

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.

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Páles, Z., & Pasteczka, P. (2024). Estimating the Hardy constant of nonconcave homogeneous quasideviation means. Annales Mathematicae Silesianae, 38(1), 78–92. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/17098

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Domyślna okładka

Vol. 38 No. 1 (2024)
Published: 2024-03-27


ISSN: 0860-2107
eISSN: 2391-4238
Ikona DOI 10.1515/amsil

Publisher
University of Silesia Press

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