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Weighted approximation of functions with endpoint or inner singularities by Bernstein operators

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Publication:705724
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DOI10.1023/B:AMHU.0000028234.44474.fezbMath1062.41016OpenAlexW2010643328MaRDI QIDQ705724

Giuseppe Mastroianni, József Szabados, Biancamaria Della Vecchia

Publication date: 14 February 2005

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

Full work available at URL: https://doi.org/10.1023/b:amhu.0000028234.44474.fe


zbMATH Keywords

Bernstein operatorweighted modulus of smoothness and \(K\)-functionalweights with endpoint or inner zeros in \([0,1\)]


Mathematics Subject Classification ID

Inverse theorems in approximation theory (41A27)


Related Items

Direct and inverse theorems for Bernstein polynomials with inner singularities ⋮ Weighted approximation of functions with singularities by combinations of Bernstein operators ⋮ Weighted approximation of functions on the real line by Bernstein polynomials ⋮ Weighted approximation by analogues of Bernstein operators for rational functions ⋮ Weighted approximation by modified Kantorovich-Bernstein operators ⋮ Weighted approximation by Bernstein quasiinterpolants for functions with singularities ⋮ Weighted approximation of functions with singularities by Bernstein operators ⋮ Generalized Bernstein polynomials with Pollaczek weight



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