Convergence analysis of max-product and max-min Durrmeyer-type exponential sampling operators in Mellin Orlicz space
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| Format: | Preprint |
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2025
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| _version_ | 1866912753080336384 |
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| author | Pradhan, Satyaranjan Srivastava, H. M. Soren, Madan Mohan |
| author_facet | Pradhan, Satyaranjan Srivastava, H. M. Soren, Madan Mohan |
| contents | In the present study, we establish both pointwise and uniform convergence in the space of logarithmically uniformly continuous and bounded functions for the max-product and max-min Durrmeyer-type exponential sampling operators. Furthermore, the modular convergence of these operators is demonstrated within the framework of Orlicz space. In addition to the theoretical results, we provide numerical and graphical analyses for various kernel pairs, illustrating the convergence rates and approximation behavior of the proposed operators. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_06388 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Convergence analysis of max-product and max-min Durrmeyer-type exponential sampling operators in Mellin Orlicz space Pradhan, Satyaranjan Srivastava, H. M. Soren, Madan Mohan Functional Analysis 41A25 41A35 41A36 47A58 In the present study, we establish both pointwise and uniform convergence in the space of logarithmically uniformly continuous and bounded functions for the max-product and max-min Durrmeyer-type exponential sampling operators. Furthermore, the modular convergence of these operators is demonstrated within the framework of Orlicz space. In addition to the theoretical results, we provide numerical and graphical analyses for various kernel pairs, illustrating the convergence rates and approximation behavior of the proposed operators. |
| title | Convergence analysis of max-product and max-min Durrmeyer-type exponential sampling operators in Mellin Orlicz space |
| topic | Functional Analysis 41A25 41A35 41A36 47A58 |
| url | https://arxiv.org/abs/2512.06388 |