The second moment for the Meyer-König and Zeller operators

DOI10.1016/0021-9045(84)90067-4zbMath0575.41013OpenAlexW2080727130MaRDI QIDQ1064483

J. A. H. Alkemade

Publication date: 1984

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(84)90067-4

zbMATH Keywords

hypergeometric seriesapplicationsMeyer-König and Zeller operatorsconvergent power series

Mathematics Subject Classification ID

Approximation by positive operators (41A36)

Related Items

New Korovkin type theorem for non-tensor Meyer-König and Zeller operators, Voronovskaya-type results for positive linear operators of exponential type and their derivatives, Properties of convergence for the \(q\)-Meyer-König and Zeller operators, The complete asymptotic expansion for the Meyer-König and Zeller operators, Parametric generalization of the Meyer-König-Zeller operators, The generalization of bivariate MKZ operators by multiple generating functions, Approximation by Urysohn type Meyer-König and Zeller operators to Urysohn integral operators, Approximation by generalized MKZ-operators in polynomial weighted spaces, Elementary hypergeometric functions, Heun functions, and moments of MKZ operators, An elementary function representation of the second-order moment of the Meyer-König and Zeller operators, Strong converse inequalities for Meyer-König and Zeller operators, Approximation properties of a generalization of positive linear operators, Quantitative estimates of Voronovskaya type in weighted spaces, A class of linear positive operators in weighted spaces, The generalization of Meyer-König and Zeller operators by generating functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A global approximation theorem for Meyer-König and Zeller operators
• On a family of approximation operators
• Polynomials of binomial type and approximation theory
• Certain positive linear operators
• Approximation properties of the \(M_ n\)-operators
• Bernsteinsche Potenzreihen
• Saturation and Inverse Theorems for Combinations of a Class of Exponential-Type Operators
• Bernstein Power Series
• THE DEGREE OF CONVERGENCE OF SEQUENCES OF LINEAR POSITIVE OPERATORS