Certain approximation properties of Brenke polynomials using Jakimovski-Leviatan operators

DOI10.1186/s13660-021-02639-2zbMath1504.41031OpenAlexW3170807418MaRDI QIDQ2072875

Shahid Ahmad Wani, Mohammad Mursaleen, Kottakkaran Sooppy Nisar

Publication date: 26 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-021-02639-2

zbMATH Keywords

modulus of continuityweighted spaceSzasz operatorsBrenke type polynomialsJakimovski-Leviatan operators

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36)

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Cites Work

• Modified Stancu type Dunkl generalization of Szász-Kantorovich operators
• Generalization of Szasz operators involving Brenke type polynomials
• Approximation of Jakimovski-Leviatan-Beta type integral operators via \(q\)-calculus
• The degree of approximation to periodic functions by linear positive operators
• Approximation by Durrmeyer type Jakimoski-Leviatan operators
• Generalization of Bernstein's polynomials to the infinite interval
• Approximation by operators including generalized Appell polynomials
• THE DEGREE OF CONVERGENCE OF SEQUENCES OF LINEAR POSITIVE OPERATORS
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