Generalization of Szász operators involving multiple Sheffer polynomials

DOI10.1007/s41478-022-00443-9OpenAlexW4281566649WikidataQ114217528 ScholiaQ114217528MaRDI QIDQ2692615

Mahvish Ali, Richard B. Paris

Publication date: 22 March 2023

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.11131

zbMATH Keywords

rate of convergencemodulus of continuitySzász operatorsmultiple Sheffer polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other functions defined by series and integrals (33E20) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Related Items (1)

Chlodowsky-type Szász operators via Boas-Buck-type polynomials and some approximation properties

Cites Work

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• Sheffer polynomials, monomiality principle, algebraic methods and the theory of classical polynomials
• On multiple Appell polynomials
• Generalization of Bernstein's polynomials to the infinite interval
• Approximation by generalized integral Favard-Szász type operators involving Sheffer polynomials
• An algebraic approach to Sheffer polynomial sequences
• Properties of multiple Hermite and multiple Laguerre polynomials by the generating function

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