Complete asymptotic expansion for generalized Favard operators

DOI10.1007/s00365-011-9134-yzbMath1262.41023OpenAlexW2014208921WikidataQ115600862 ScholiaQ115600862MaRDI QIDQ663327

Ulrich Abel, Paul L. Butzer

Publication date: 14 February 2012

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-011-9134-y

zbMATH Keywords

rate of convergenceasymptotic expansionssimultaneous approximationApproximation by positive operators

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Related Items (8)

The Durrmeyer variant of an operator defined by D.D. Stancu ⋮ A Brief History of the Favard Operator and Its Variants ⋮ A Voronovskaya-type theorem in simultaneous approximation ⋮ Feller’s Scheme in Approximation by Nonlinear Possibilistic Integral Operators ⋮ Complete Asymptotic Expansions for the Chlodovsky Polynomials ⋮ A complete asymptotic expansion for the quasi-interpolants of Gauß-Weierstraß operators ⋮ Quantitative approximation by fractional generalized discrete singular operators ⋮ Asymptotic behaviour of Jain operators

Cites Work

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• Asymptotic formulas for multivariate Bernstein-Schoenberg operators
• On the generalized Favard-Kantorovich and Favard-Durrmeyer operators in exponential function spaces
• Sur le multiplicateurs d'interpolation
• Saturation for Farvard operators in weighted function spaces

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