Weighted Approximation By Max-Product Generalized Exponential Sampling Series
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916408369086464 |
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| author | Pradhan, Satyaranjan Soren, Madan Mohan |
| author_facet | Pradhan, Satyaranjan Soren, Madan Mohan |
| contents | In this article, we study the convergence behaviour of the classical generalized Max Product exponential sampling series in the weighted space of log-uniformly continuous and bounded functions. We derive basic convergence results for both the series and study the asymptotic convergence behaviour. Some quantitative approximation results have been obtained utilizing the notion of weighted logarithmic modulus of continuity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_14884 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weighted Approximation By Max-Product Generalized Exponential Sampling Series Pradhan, Satyaranjan Soren, Madan Mohan Functional Analysis Numerical Analysis 41A25, 41A35, 41A30 In this article, we study the convergence behaviour of the classical generalized Max Product exponential sampling series in the weighted space of log-uniformly continuous and bounded functions. We derive basic convergence results for both the series and study the asymptotic convergence behaviour. Some quantitative approximation results have been obtained utilizing the notion of weighted logarithmic modulus of continuity. |
| title | Weighted Approximation By Max-Product Generalized Exponential Sampling Series |
| topic | Functional Analysis Numerical Analysis 41A25, 41A35, 41A30 |
| url | https://arxiv.org/abs/2409.14884 |