On the Convergence of Max-product and Max-Min Durrmeyer-type Exponential Sampling Operators
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911214287716352 |
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| author | Pradhan, Satyaranjan Senapati, Abhishek Soren, Madan Mohan |
| author_facet | Pradhan, Satyaranjan Senapati, Abhishek Soren, Madan Mohan |
| contents | This article discusses the convergence properties of the Max Product and Max Min variants of Durrmeyer type exponential sampling series. We first establish pointwise and uniform convergence of both operators in the space of log uniformly continuous and bounded functions. The rates of convergence are then analyzed in terms of the logarithmic modulus of continuity. Additionally, the approximation errors of the proposed operators are examined using a variety of kernel functions. Finally, graphical illustrations are provided to demonstrate the convergence behavior of both operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_14439 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Convergence of Max-product and Max-Min Durrmeyer-type Exponential Sampling Operators Pradhan, Satyaranjan Senapati, Abhishek Soren, Madan Mohan Functional Analysis This article discusses the convergence properties of the Max Product and Max Min variants of Durrmeyer type exponential sampling series. We first establish pointwise and uniform convergence of both operators in the space of log uniformly continuous and bounded functions. The rates of convergence are then analyzed in terms of the logarithmic modulus of continuity. Additionally, the approximation errors of the proposed operators are examined using a variety of kernel functions. Finally, graphical illustrations are provided to demonstrate the convergence behavior of both operators. |
| title | On the Convergence of Max-product and Max-Min Durrmeyer-type Exponential Sampling Operators |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2510.14439 |