Local and global Hölder- and Minkowski-type inequalities for nonsymmetric generalized Bajraktarević means
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866910733193707520 |
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| author | Grünwald, Richárd Páles, Zsolt |
| author_facet | Grünwald, Richárd Páles, Zsolt |
| contents | The aim of this paper is to investigate inequalities that are analogous to the Minkowski and Hölder inequalities by replacing the addition and the multiplication by a more general operation, and instead of using power means, generalized Bajraktarević means are considered, in particular, Gini means. A further aim is to introduce the concept of local and global validity of such inequalities and to characterize them in both senses. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_05648 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Local and global Hölder- and Minkowski-type inequalities for nonsymmetric generalized Bajraktarević means Grünwald, Richárd Páles, Zsolt Classical Analysis and ODEs 26E60, 26D15, 39B62 The aim of this paper is to investigate inequalities that are analogous to the Minkowski and Hölder inequalities by replacing the addition and the multiplication by a more general operation, and instead of using power means, generalized Bajraktarević means are considered, in particular, Gini means. A further aim is to introduce the concept of local and global validity of such inequalities and to characterize them in both senses. |
| title | Local and global Hölder- and Minkowski-type inequalities for nonsymmetric generalized Bajraktarević means |
| topic | Classical Analysis and ODEs 26E60, 26D15, 39B62 |
| url | https://arxiv.org/abs/2412.05648 |