Approximation by parametrized logistic activated convolution type operators (Q6577506)
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scientific article; zbMATH DE number 7885766
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation by parametrized logistic activated convolution type operators |
scientific article; zbMATH DE number 7885766 |
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Approximation by parametrized logistic activated convolution type operators (English)
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24 July 2024
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The present article deals with a new type of univariate parametrized logistic activated convolution operator. Some approximation properties are discussed consisting of quantitative convergence to the unit operator in terms of the modulus of continuity. Also, global smoothness preservation of such operators along with the related iterated approximation, as well as, the simultaneous approximation and their combinations are discussed in a very elegant manner. To speed up the convergence differentiation and fractional differentiability are considered. Finally, simultaneous global smoothness preservation is also discussed.
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Richards' curve function
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parametrized logistic function
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convolution type operator
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Caputo fractional derivative
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global smoothness preservation
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iterated approximation
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