Best direct and converse results for Lagrange-type operators

D. H. Mache; D. X. Zhou

doi:10.1007/BF02836281

Best direct and converse results for Lagrange-type operators

D. H. Mache, D. X. Zhou

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

3 Citations (Scopus)

Abstract

The aim of this paper is to give direct and converse theorems for the approximation by using a discretely defined method L_n ^* (see D. H. Mache [10], which is a modification of the Lagrange operator. Furthermore we obtain with a matrix construction technique (see M. D. Ye and D. X. Zhou [11]) a Lagrange-type operator ℒ_n, for which we get a characterization for Lipschitz functions by the approximation rate of these methods. © 1995 Springer.

Original language	English
Pages (from-to)	76-93
Journal	Approximation Theory and Its Applications
Volume	11
Issue number	2
DOIs	https://doi.org/10.1007/BF02836281
Publication status	Published - Jun 1995
Externally published	Yes

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abstract = "The aim of this paper is to give direct and converse theorems for the approximation by using a discretely defined method L n * (see D. H. Mache [10], which is a modification of the Lagrange operator. Furthermore we obtain with a matrix construction technique (see M. D. Ye and D. X. Zhou [11]) a Lagrange-type operator ℒn, for which we get a characterization for Lipschitz functions by the approximation rate of these methods. {\textcopyright} 1995 Springer.",

author = "Mache, {D. H.} and Zhou, {D. X.}",

year = "1995",

month = jun,

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language = "English",

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TY - JOUR

T1 - Best direct and converse results for Lagrange-type operators

AU - Mache, D. H.

AU - Zhou, D. X.

PY - 1995/6

Y1 - 1995/6

N2 - The aim of this paper is to give direct and converse theorems for the approximation by using a discretely defined method L n * (see D. H. Mache [10], which is a modification of the Lagrange operator. Furthermore we obtain with a matrix construction technique (see M. D. Ye and D. X. Zhou [11]) a Lagrange-type operator ℒn, for which we get a characterization for Lipschitz functions by the approximation rate of these methods. © 1995 Springer.

AB - The aim of this paper is to give direct and converse theorems for the approximation by using a discretely defined method L n * (see D. H. Mache [10], which is a modification of the Lagrange operator. Furthermore we obtain with a matrix construction technique (see M. D. Ye and D. X. Zhou [11]) a Lagrange-type operator ℒn, for which we get a characterization for Lipschitz functions by the approximation rate of these methods. © 1995 Springer.

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U2 - 10.1007/BF02836281

DO - 10.1007/BF02836281

M3 - RGC 21 - Publication in refereed journal

SN - 1000-9221

VL - 11

SP - 76

EP - 93

JO - Approximation Theory and Its Applications

JF - Approximation Theory and Its Applications

IS - 2

ER -

Best direct and converse results for Lagrange-type operators

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