The generalization of some results for Schurer and Schurer-Stancu operators-Reference-Cited by-同舟云学术

The generalization of some results for Schurer and Schurer-Stancu operators

Published:2011-02-01 Issue:1 Volume:40 Page:52-63
ISSN:2501-059X
Container-title:Journal of Numerical Analysis and Approximation Theory
language:
Short-container-title:J. Numer. Anal. Approx. Theory

Author:

Miclăuş Dan

Abstract

In the present paper we generalize some results for Schurer and Schurer-Stancu operators. Firstly, we establish a general formula concerning calculation of test functions by Schurer operators. Secondly, using this relationship and some known results we prove in every case a Voronovskaja type theorem, the uniform convergence and the order of approximation for Schurer and Schurer-Stancu operators.

Publisher

Academia Romana Filiala Cluj

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Mathematics (miscellaneous)

Link

https://ictp.acad.ro/jnaat/journal/article/download/2011-vol40-no1-art6/Miclaus-pdf

Reference22 articles.

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4. Bărbosu, D. and Bărbosu, M., Some properties of the fundamental polynomials of Bernstein-Schurer operators, Buletin Şt. Univ. Baia Mare, XVIII, no. 2, pp. 133-136, 2002.

5. Bărbosu, D., Voronovskaja theorem for Bernstein-Schurer operators, Buletin Şt. Univ. Baia Mare, XVIII, no. 2, pp. 137-140, 2002.