Approximation by Szasz-Kantorovich type operators associated with \(\mathrm{d}\)-symmetric \(\mathrm{d}\)-orthogonal polynomials of Brenke type (Q6621103)
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scientific article; zbMATH DE number 7928421
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation by Szasz-Kantorovich type operators associated with \(\mathrm{d}\)-symmetric \(\mathrm{d}\)-orthogonal polynomials of Brenke type |
scientific article; zbMATH DE number 7928421 |
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Approximation by Szasz-Kantorovich type operators associated with \(\mathrm{d}\)-symmetric \(\mathrm{d}\)-orthogonal polynomials of Brenke type (English)
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17 October 2024
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The study of convergence rate of the considered operators using the Peetre's K-functional and the modulus of smoothness has been done. Furthermore, an estimation of the speed of convergences for some special classes of functions, namely, the Lipschitz-type class of functions has been provided. The Voronovskaja-type theorem is also proved.
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linear positive operators
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rate of convergence
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modulus of smoothness
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Voronovskaja-type theorem
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