Approximation by $T$ means with respect to Vilenkin system in Lebesgue spaces and Lipschitz classes
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914816367525888 |
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| author | Anakidze, N. Areshidze, N. Persson, L. -E. Tephnadze, G. |
| author_facet | Anakidze, N. Areshidze, N. Persson, L. -E. Tephnadze, G. |
| contents | In this paper we present and prove some new results concerning approximation properties of $T$ means with respect to the Vilenkin system in Lebesgue spaces and Lipschitz classes for any $1\leq p<\infty$. As applications, we obtain extension of some known approximation inequalities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_19350 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Approximation by $T$ means with respect to Vilenkin system in Lebesgue spaces and Lipschitz classes Anakidze, N. Areshidze, N. Persson, L. -E. Tephnadze, G. General Mathematics 42C10 In this paper we present and prove some new results concerning approximation properties of $T$ means with respect to the Vilenkin system in Lebesgue spaces and Lipschitz classes for any $1\leq p<\infty$. As applications, we obtain extension of some known approximation inequalities. |
| title | Approximation by $T$ means with respect to Vilenkin system in Lebesgue spaces and Lipschitz classes |
| topic | General Mathematics 42C10 |
| url | https://arxiv.org/abs/2405.19350 |