Rate of approximation by a new sequence of linear positive operators

DOI10.1016/S0898-1221(03)90010-1zbMath1062.41023MaRDI QIDQ1827229

Yanyan Li

Publication date: 6 August 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

positive operatorsdirect theorems

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Related Items

Approximation by a novel Miheşan type summation-integral operator, Certain new classes of Durrmeyer type operators, Rate of convergence for certain families of summation-integral type operators, Approximation by integral form of Jain and Pethe operators, Simultaneous approximation by certain Baskakov-Durrmeyer-Stancu operators, A certain family of summation-integral type operators, Inequalities and numerical results of approximation for bivariate $q$-Baskakov-Durrmeyer type operators including q-improper integral, Direct estimates in simultaneous approximation for BBS operators, Different Durrmeyer Variants of Baskakov Operators, Convergence in simultaneous approximation for Srivastava-Gupta operators, Szász–Durrmeyer Operators and Approximation, Results Concerning Certain Linear Positive Operators, Simultaneous approximation for generalized Srivastava-Gupta operators, Approximation by modified Srivastava-Gupta operators, Approximation by \(q\)-Baskakov Durrmeyer type operators, The iterative combinations of a new sequence of linear positive operators, Direct and inverse estimates for Phillips type operators, Approximation with certain exponential operators, Approximation for modification of exponential type operators connected with \(x(x+1)^2\), Direct estimates for Gupta type general operators, A certain family of mixed summation-integral type operators

Cites Work

• Bounds for Bernstein basis functions and Meyer-König and Zeller basis functions
• Approximation of unbounded functions by a new sequence of linear positive operators
• Rate of convergence for the modified Szász-Mirakyan operators on functions of bounded variation
• Rate of convergence of Baskakov-Bézier type operators for locally bounded functions.
• Rate of approximation of functions of bounded variation by modified Lupas operators
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