Weighted Approximation by Left Quasi-Interpolants of Derivatives of Gamma Operators

Weighted Approximation by Left Quasi-Interpolants of Derivatives of Gamma Operators

Year:    2009

Author:    Hongbiao Jiang

Communications in Mathematical Research , Vol. 25 (2009), Iss. 4 : pp. 289–298

Abstract

In order to obtain much faster convergence, Müller introduced the left Gamma quasi-interpolants and obtained an approximation equivalence theorem in terms of $ω^{2r}_φ(f, t)_p$. Guo extended the Müller's results to $ω^{2r}_{φ^λ} (f, t)_∞$. In this paper we improve the previous results and give a weighted approximation equivalence theorem.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2009-CMR-19347

Communications in Mathematical Research , Vol. 25 (2009), Iss. 4 : pp. 289–298

Published online:    2009-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Gamma operator quasi-interpolant weighted approximation modulus of smoothness derivative.

Author Details

Hongbiao Jiang