Convergence and Voronovskaja-type theorems for derivatives of generalized Baskakov operators

DOI10.2478/S11533-008-0025-9zbMath1153.41309OpenAlexW2028241890MaRDI QIDQ931609

Salma Khatoon, Abdul Wafi

Publication date: 25 June 2008

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-008-0025-9

zbMATH Keywords

exponential weight spacesgeneralized Baskakov operatorsVoronovskaja-type theorems

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximation by positive operators (41A36)

Related Items (13)

On generalized Baskakov-Durrmeyer-Stancu type operators ⋮ Approximation by generalized Baskakov-Durrmeyer-Stancu type operators ⋮ Directs estimates and a Voronovskaja-type formula for Mihesan operators ⋮ Voronovskaya-type results for positive linear operators of exponential type and their derivatives ⋮ Approximation properties of Lupas-Kantorovich operators based on Polya distribution ⋮ Some smoothness properties of the Lupaş-Kantorovich type operators based on Pólya distribution ⋮ Bivariate Extension of Linear Positive Operators ⋮ A Voronovskaya-type theorem for the first derivatives of positive linear operators ⋮ Approximation of functions and Mihesan operators ⋮ Durrmeyer type modification of generalized Baskakov operators ⋮ Stancu-variant of generalized Baskakov operators ⋮ Modified Bernstein-Kantorovich operators for functions of one and two variables ⋮ The Product of Two Functions Using Positive Linear Operators

Cites Work

• The Baskakov operators for functions of two variables
• On the order of approximation of functions by generalized Baskakov operators
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