Páles, Zsolt and Pawel, Pasteczka (2021) On the Jensen convex and Jensen concave envelopes of means. ARCHIV DER MATHEMATIK, 116 (4). pp. 423-432. ISSN 0003-889X
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Official URL: https://doi.org/10.1007/s00013-020-01544-2
Abstract
In recent papers, the convexity of quasiarithmetic means was characterized under twice differentiability assumptions. One of the main goals of this paper is to show that the convexity or concavity of a quasiarithmetic mean implies the twice continuous differentiability of its generator. As a consequence of this result, we can characterize those quasiarithmetic means which admit a lower convex and upper concave quasiarithmetic envelope.
| Item Type: | Article |
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| Uncontrolled Keywords: | mean; quasiarithmetic mean; Jensen concavity; Jensen convexity; |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 09 Jan 2023 11:26 |
| Last Modified: | 09 Jan 2023 11:26 |
| URI: | http://real.mtak.hu/id/eprint/156230 |
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