Approximation of functions by certain nonlinear integral operators

DOI10.1007/s10986-008-9020-xzbMath1175.41023OpenAlexW2039796749MaRDI QIDQ736140

A. Thiel, Lucyna Rempulska

Publication date: 27 October 2009

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-008-9020-x

zbMATH Keywords

integral operatornonlinear operatorlinear operatorapproximation theorempolynomial weight space

Mathematics Subject Classification ID

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

Related Items (1)

Approximation theorems for a general class of truncated operators

Cites Work

• A Voronovskaya-type theorem for a general class of discrete operators
• On simultaneous approximation by modified Lupas operators
• Estimates of the approximation error for abstract sampling type operators in Orlicz spaces
• Rate of convergence in simultaneous approximation for Szász--Mirakyan--Durrmeyer operators
• On strong approximation applied to post-widder operators
• Local smoothness of functions and Baskakov-Durrmeyer operators
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