Approximation by neural network operators of convolution type activated by deformed and parametrized half hyperbolic tangent function
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915536573562880 |
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| author | Arif, Asiye Yurdakadim, Tugba |
| author_facet | Arif, Asiye Yurdakadim, Tugba |
| contents | Here, we introduce three kinds of neural network operators of convolution type which are activated by q-deformed and \b{eta}-parametrized half hyperbolic tangent function. We obtain quantitative convergence results to the identity operator with the use of modulus of continuity. Global smoothness preservation of our operators are also presented and the iterated versions of them are taken into the consideration. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_05980 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Approximation by neural network operators of convolution type activated by deformed and parametrized half hyperbolic tangent function Arif, Asiye Yurdakadim, Tugba Numerical Analysis 41A17, 41A25, 41A35, 47A58 Here, we introduce three kinds of neural network operators of convolution type which are activated by q-deformed and \b{eta}-parametrized half hyperbolic tangent function. We obtain quantitative convergence results to the identity operator with the use of modulus of continuity. Global smoothness preservation of our operators are also presented and the iterated versions of them are taken into the consideration. |
| title | Approximation by neural network operators of convolution type activated by deformed and parametrized half hyperbolic tangent function |
| topic | Numerical Analysis 41A17, 41A25, 41A35, 47A58 |
| url | https://arxiv.org/abs/2510.05980 |