Some approximation properties of operators including degenerate Appell polynomials

DOI10.1515/ms-2023-0111OpenAlexW4389894973MaRDI QIDQ6139746

Gürhan İçöz, Bilge Zehra Sergi, Bayram Çekim

Publication date: 19 January 2024

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2023-0111

zbMATH Keywords

Szász operatorsAppell polynomialsVoronovskaja-type theoremLipschitz class

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Cites Work

• On some extensions of Szasz operators including Boas-Buck-type polynomials
• Generalization of Szasz operators involving Brenke type polynomials
• A degenerate Staudt-Clausen theorem
• Korovkin-type approximation theory and its applications
• \(\Delta_h\)-Appell sequences and related interpolation problem
• Approximation by a new sequence of operators involving Apostol-Genocchi polynomials
• \(\Delta_h\)-Gould-Hopper Appell polynomials
• Generalization of Bernstein's polynomials to the infinite interval
• Approximation by modified integral type Jakimovski-Leviatan operators
• Approximation by operators including generalized Appell polynomials
• Generalized Szász Operators for the Approximation in the Complex Domain
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