<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

Estimating the Hardy Constant of Nonconcave Homogeneous Quasideviation Means

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"Estimating the Hardy Constant of Nonconcave Homogeneous Quasideviation Means"}

In this paper, we consider homogeneous quasideviation means generated by real functions (defined on (0, ∞)) which are concave around the point 1 and possess...

Estimating the Hardy Constant of Nonconcave Homogeneous Quasideviation Means

Published Online: Feb 15, 2024

Page range: 78 - 92

Received: Jul 21, 2023

Accepted: Jan 24, 2024

DOI: https://doi.org/10.2478/amsil-2024-0004

Keywords
Hardy inequality, Hardy constant, homogeneous quasideviation mean, Jensen concavity

© 2024 Zsolt Páles et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Estimating the Hardy Constant of Nonconcave Homogeneous Quasideviation Means

Published Online: Feb 15, 2024

Page range: 78 - 92

Received: Jul 21, 2023

Accepted: Jan 24, 2024

DOI: https://doi.org/10.2478/amsil-2024-0004

KeywordsHardy inequality, Hardy constant, homogeneous quasideviation mean, Jensen concavity

© 2024 Zsolt Páles et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Hardy inequality, Hardy constant, homogeneous quasideviation mean, Jensen concavity