On the variation detracting property of operators of Balázs and Szabados

DOI10.1007/S10474-016-0642-XzbMath1399.41037OpenAlexW2508396055MaRDI QIDQ1701377

Octavian Agratini, Ulrich Abel

Publication date: 22 February 2018

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-016-0642-x

zbMATH Keywords

function of bounded variationlinear positive operatorvariation detracting property

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36)

Related Items (6)

A characterization of the convergence in variation for the generalized sampling series ⋮ A characterization of the absolute continuity in terms of convergence in variation for the sampling Kantorovich operators ⋮ A Voronovskaya-type theorem in simultaneous approximation ⋮ Quantitative estimates for sampling type operators with respect to the Jordan variation ⋮ On a Class of Bernstein-Type Rational Functions ⋮ The Product of Two Functions Using Positive Linear Operators

Cites Work

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• Approximation by Bernstein type rational functions. II
• Approximation by Bernstein type rational functions
• Convergence in Variation and Rates of Approximation for Bernstein-Type Polynomials and Singular Convolution Integrals

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