Hölder- and Minkowski-type inequalities for generalized quasi-arithmetic means
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917067710529536 |
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| author | Páles, Zsolt Pasteczka, Paweł |
| author_facet | Páles, Zsolt Pasteczka, Paweł |
| contents | The purpose of this paper is to establish several necessary and sufficient conditions to ensure the validity of a general functional inequality in terms of generalized quasi-arithmetic means. In particular cases, we consider Hölder-, Minkowski-, and Jensen-type inequalities. Generalized quasi-arithmetic means are defined by taking strictly monotone generating functions instead of strictly monotone and continuous ones. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_05411 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hölder- and Minkowski-type inequalities for generalized quasi-arithmetic means Páles, Zsolt Pasteczka, Paweł Classical Analysis and ODEs The purpose of this paper is to establish several necessary and sufficient conditions to ensure the validity of a general functional inequality in terms of generalized quasi-arithmetic means. In particular cases, we consider Hölder-, Minkowski-, and Jensen-type inequalities. Generalized quasi-arithmetic means are defined by taking strictly monotone generating functions instead of strictly monotone and continuous ones. |
| title | Hölder- and Minkowski-type inequalities for generalized quasi-arithmetic means |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2511.05411 |