Global approximation theorems for some exponential-type operators

DOI10.1016/0021-9045(81)90020-4zbMath0469.41033OpenAlexW2070713439MaRDI QIDQ1156957

Kunio Sato

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0021-9045(81)90020-4

zbMATH Keywords

Bernstein polynomialBaskakov operatorsSzasz-Mirakjan operatorsGausss-Weierstrass operators

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by polynomials (41A10) Approximation by positive operators (41A36)

Related Items (6)

Approximation properties of exponential type operators connected to \(p(x)=2x^{3/2}\) ⋮ \(L^p\) approximation strategy by positive linear operators ⋮ A complete asymptotic expansion for operators of exponential type with \(p\left( x\right) =x\left( 1+x\right)^2\) ⋮ Direct and inverse theorems on statistical approximations by positive linear operators ⋮ Local and global approximation theorems for positive linear operators ⋮ Approximation for link Ismail-May operators

Cites Work

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• An elementary proof of the inverse theorem for Bernstein polynomials
• A global approximation theorem for Meyer-König and Zeller operators
• On a family of approximation operators
• An elementary approach to inverse approximation theorems
• Saturation and Inverse Theorems for Combinations of a Class of Exponential-Type Operators
• Linear Combinations of Bernstein Polynomials

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