Convergence analysis of modified Szász operators associated with Hermite polynomials (Q6123446)
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scientific article; zbMATH DE number 7812633
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence analysis of modified Szász operators associated with Hermite polynomials |
scientific article; zbMATH DE number 7812633 |
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Convergence analysis of modified Szász operators associated with Hermite polynomials (English)
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4 March 2024
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The paper introduces a Stancu-type extension of Szasz operators linked to Hermite polynomials and investigates their convergence using Korovkin's theorem. It explores approximation theorems utilizing various tools like Peetre's K-functional and different modulus of continuity measures. The convergence rate for Lipschitz-type functions is analyzed, along with the rate of weighted A-statistical convergence. Additionally, it demonstrates a Voronovskaya-type asymptotic result for these operators.
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Hermite polynomials
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convergence rate
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modulus of continuity
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weighted A-statistical convergence
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Voronovskaja type theorem
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