On the variation detracting property of a class of operators

DOI10.1016/j.aml.2005.12.007zbMath1176.41027OpenAlexW2069607894MaRDI QIDQ1031726

Octavian Agratini

Publication date: 30 October 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2005.12.007

zbMATH Keywords

linear positive operatorsBaskakov-type operatorsconvergence in variationvariation detracting property

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36) Functions of bounded variation, generalizations (26A45)

Related Items (8)

A characterization of the convergence in variation for the generalized sampling series ⋮ On the Convergence of Bernstein-Stancu Polynomials in the Variation Seminorm ⋮ Unnamed Item ⋮ A characterization of the absolute continuity in terms of convergence in variation for the sampling Kantorovich operators ⋮ Convergence of the Bernstein-Durrmeyer operators in variation seminorm ⋮ On convergence of Chlodovsky and Chlodovsky-Kantorovich polynomials in the variation seminorm ⋮ On the variation detracting property of operators of Balázs and Szabados ⋮ Convergence in variation for Bernstein-type operators

Cites Work

• Convergence in Variation and Rates of Approximation for Bernstein-Type Polynomials and Singular Convolution Integrals
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the variation detracting property of a class of operators