Páles, Zsolt and Pasteczka, P. (2019) ON THE HOMOGENIZATION OF MEANS. ACTA MATHEMATICA HUNGARICA, 159 (2). pp. 537-562. ISSN 0236-5294
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Abstract
The aim of this paper is to introduce several notions of homogenization in various classes of weighted means, which include quasiarithmetic and semideviation means. In general, the homogenization is an operator which attaches a homogeneous mean to a given one. Our results show that, under some regularity or convexity assumptions, the homogenization of quasiarithmetic means are power means, and homogenization of semideviation means are homogeneous semideviation means. In other results, we characterize the comparison inequality, the Jensen concavity, and Minkowski- and Holder-type inequalities related to semideviation means.
| Item Type: | Article |
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| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 24 Feb 2023 07:33 |
| Last Modified: | 24 Feb 2023 07:33 |
| URI: | http://real.mtak.hu/id/eprint/160346 |
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