Iterates of multivariate Cheney-Sharma operators

Abstract

Using the weakly Picard operators technique, we study the convergence of the iterates of some hivariate and trivariate Cheney-Sharma operators. Also, we generalize the procedure for the multivariate case.

Authors

T. Catinas
(Babes Bolyai Univ.)

D. Otrocol
(Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy)

Keywords

Cheney-Sharma operators; contraction principle; weakly Picard operators

Cite this paper as:

T. Catinas, D.  Otrocol,  Iterates of multivariate Cheney-Sharma operators, J. Comput. Anal. Appl., Vol. 15 (2013), no. 7, pp. 1240-1246

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About this paper

Journal

Journal of Computational Analysis and Applications

Publisher Name

Eudoxus Press, Cordova, USA

DOI
Print ISSN

1521-1398

Online ISSN
MR

MR3075657

ZBL

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