Partial shape preserving approximation by bivariate Hermite-Fejer polynomials

Authors
Anastassiou, GA Gal, SG
Citation
Ga. Anastassiou et Sg. Gal, Partial shape preserving approximation by bivariate Hermite-Fejer polynomials, COMPUT MATH, 42(1-2), 2001, pp. 57-64
Citations number
11
Categorie Soggetti
Computer Science & Engineering
Journal title
COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN journal
08981221 → ACNP
Volume
42
Issue
1-2
Year of publication
2001
Pages
57 - 64
Database
ISI
SICI code
0898-1221(200107)42:1-2<57:PSPABB>2.0.ZU;2-5
Abstract
Extending the results from the univariate case in a paper by Gal and Szabad os, in this paper, we prove that the bivariate interpolation operators of H ermite-Fejer preserve some kinds of monotonicity and convexity of bivariate functions, in the neighborhoods of some points. Also, quantitative results are proved, i.e., estimates of the magnitudes for these neighborhoods are obtained. (C) 2001 Elsevier Science Ltd. All rights reserved.