Local smoothness of functions and Bernstein-Durrmeyer operators

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

Overview

4 Scopus Citations

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Author(s)

H. H. Gonska
D. X. Zhou

Detail(s)

Original language	English
Pages (from-to)	83-101
Journal / Publication	Computers and Mathematics with Applications
Volume	30
Issue number	3-6
Publication status	Published - Sept 1995
Externally published	Yes

Link(s)

DOI	DOI https://doi.org/10.1016/0898-1221(95)00088-7 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-58149323078&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(d8cc90c9-1a48-4fb0-a219-2338fb695795).html

Abstract

Continuous functions satisfying a local Lipschitz condition of order α(0 <α <1) on any subset of [0, 1] are characterized by the local rate of convergence of Bernstein-Durrmeyer operators. As an application, we give an algorithm for singular detection. A new direct estimate for the approximation of continuous functions by Bernstein-Durrmeyer operators and Kantorovich operators is also presented. © 1995.

Research Area(s)

Bernstein type operators, Bernstein-Durrmeyer operators, Kantorovich operators, Local Lipschitz conditions, Singular detection

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Publication fingerprints text

Operators Mathematics

Smooth Function Keyphrases

Szász-Mirakjan Oper... Keyphrases

Local Smoothness Keyphrases

algorithms INIS

convergence INIS

approximations INIS

applications INIS

smoothness INIS

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Citation Format(s)

[ RIS ] [ BibTeX ]

Local smoothness of functions and Bernstein-Durrmeyer operators. / Gonska, H. H.; Zhou, D. X.
In: Computers and Mathematics with Applications, Vol. 30, No. 3-6, 09.1995, p. 83-101.

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

Gonska, HH & Zhou, DX 1995, 'Local smoothness of functions and Bernstein-Durrmeyer operators', Computers and Mathematics with Applications, vol. 30, no. 3-6, pp. 83-101. https://doi.org/10.1016/0898-1221(95)00088-7

Gonska, H. H., & Zhou, D. X. (1995). Local smoothness of functions and Bernstein-Durrmeyer operators. Computers and Mathematics with Applications, 30(3-6), 83-101. https://doi.org/10.1016/0898-1221(95)00088-7

Gonska HH, Zhou DX. Local smoothness of functions and Bernstein-Durrmeyer operators. Computers and Mathematics with Applications. 1995 Sept;30(3-6):83-101. doi: 10.1016/0898-1221(95)00088-7

Gonska, H. H. ; Zhou, D. X. / Local smoothness of functions and Bernstein-Durrmeyer operators. In: Computers and Mathematics with Applications. 1995 ; Vol. 30, No. 3-6. pp. 83-101.