Approximation by generalized Baskakov-Durrmeyer-Stancu type operators

DOI10.1007/s12215-016-0242-1zbMath1354.41010OpenAlexW2306890634MaRDI QIDQ2374446

Yanyan Li

Publication date: 15 December 2016

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-016-0242-1

zbMATH Keywords

rate of convergencemodulus of continuitystatistical convergenceweighted approximationBaskakov-Durrmeyer operators

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Rate of convergence, degree of approximation (41A25) Ideal and statistical convergence (40A35)

Related Items (10)

Unnamed Item ⋮ Unnamed Item ⋮ Convergence analysis of modified Szász operators associated with Hermite polynomials ⋮ Approximation by multivariate Baskakov-Durrmeyer operators in Orlicz spaces ⋮ Unnamed Item ⋮ Approximation by Cheney-Sharma Chlodovsky operators ⋮ Linear positive operators constructed by using Beta-type bases ⋮ Unnamed Item ⋮ Equivalent theorem of approximation by linear combination of weighted Baskakov-Kantorovich operators in Orlicz spaces ⋮ Approximation by multivariate Baskakov-Kantorovich operators in Orlicz spaces

Cites Work

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• Generalized Baskakov-Durrmeyer type operators
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• Some results on modified Szász-Mirakjan operators
• Statistical approximation of certain positive linear operators constructed by means of the Chan-Chyan-Srivastava polynomials
• Convergence and Voronovskaja-type theorems for derivatives of generalized Baskakov operators
• \(A\)-statistical convergence of sequences of convolution operators
• Statistical approximation results for Kantorovich-type operators involving some special polynomials
• Rate of convergence of new gamma type operators for functions with derivatives of bounded variation
• On simultaneous approximation by modified Lupas operators
• Some approximation theorems via statistical convergence.
• Statistical approximation properties of \(q\)-Baskakov-Kantorovich operators
• Approximation by modified Szász-Durrmeyer operators
• Rate of convergence for generalized Szász operators

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