Volume 25, Issue 4
Weighted Approximation by Left Quasi-Interpolants of Derivatives of Gamma Operators

Hongbiao Jiang

Commun. Math. Res., 25 (2009), pp. 289-298.

Published online: 2021-07

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  • 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.

  • Keywords

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

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@Article{CMR-25-289, author = {Jiang , Hongbiao}, title = {Weighted Approximation by Left Quasi-Interpolants of Derivatives of Gamma Operators}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {25}, number = {4}, pages = {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.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19347.html} }
TY - JOUR T1 - Weighted Approximation by Left Quasi-Interpolants of Derivatives of Gamma Operators AU - Jiang , Hongbiao JO - Communications in Mathematical Research VL - 4 SP - 289 EP - 298 PY - 2021 DA - 2021/07 SN - 25 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19347.html KW - Gamma operator, quasi-interpolant, weighted approximation, modulus of smoothness, derivative. AB -

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.

HongbiaoJiang. (2021). Weighted Approximation by Left Quasi-Interpolants of Derivatives of Gamma Operators. Communications in Mathematical Research . 25 (4). 289-298. doi:
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