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Partial shape preserving approximations by bivariate shepard operators

Partial shape preserving approximations by bivariate shepard operators

Authors :
George A. Anastassiou
Sorin G. Gal
Source :
Computers & Mathematics with Applications. (1-2):47-56
Publisher :
Published by Elsevier Ltd.

Abstract

Extending the results from the univariate case in a paper by Gal and Szabados, in this paper, we prove that the bivariate Shepard interpolation operators preserve the monotonicity and the convexity of bivariate functions in neighborhoods of some points.

Details

Language :
English
ISSN :
08981221
Issue :
1-2
Database :
OpenAIRE
Journal :
Computers & Mathematics with Applications
Accession number :
edsair.doi.dedup.....c5b614fb856934d24beb55518eccdf24
Full Text :
https://doi.org/10.1016/S0898-1221(01)00129-8