Stancu modified operators revisited

Abstract

In this paper we construct a general positive approximation process representing an integral form in Kantorovich sense of the Stancu operators. By using K-functionals and some moduli of smoothness we give direct theorems for pointwise approximation. Also, by using the contraction principle we reobtain the convergence of the iterates of Stancu polynomials.

Authors

Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania

Keywords

Kantorovich operators, Stancu operators, moduli of smoothness, K-functionals, contraction principle, weakly Picard operators.

Paper coordinates

O. Agratini, Stancu modified operators revisited, Revue d’Analyse Numerique et de Theorie de l’Approximation, 31 (2002) no. 1, 9-16.

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About this paper

Journal

Revue d’Analyse Numerique et de Theorie de l’Approximation

Publisher Name

Publishing House of The Romanian Academy

Print ISSN

2501-059X

Online ISSN

2457-6794

google scholar link

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