The generalization of Voronovskaja's theorem for a class of linear and positive operators-Reference-Cited by-同舟云学术

The generalization of Voronovskaja's theorem for a class of linear and positive operators

Published:2005-02-01 Issue:1 Volume:34 Page:79-91
ISSN:2501-059X
Container-title:Journal of Numerical Analysis and Approximation Theory
language:
Short-container-title:J. Numer. Anal. Approx. Theory

Author:

Pop Ovidiu T.

Abstract

In this paper we generalize Voronovskaja's theorem for a class of linear and positive operators, and then, through particular cases, we obtain statements verified by the Bernstein, Schurer, Stancu, Kantorovich and Durrmeyer operators.

Publisher

Academia Romana Filiala Cluj

Subject

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

Link

https://ictp.acad.ro/jnaat/journal/article/download/2005-vol34-no1-art9/Pop-pdf

Reference13 articles.

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3. Bărbosu, D. and Bărbosu, M., Some properties of the fundamental polynomials of Bernstein-Schurer, Bul. Şt. Univ. Baia Mare, Ser. B, Matematică-Informatică, XVIII, nr. 2, pp. 133-136, 2002.

4. Derriennic, M. M., Sur l'approximation de finctions intégrables sur [0,1] par des polynômes de Bernstein modifiés, J. Approx. Theory, 31, pp. 325-343, 1981, https://doi.org/10.1016/0021-9045(81)90101-5

5. Durrmeyer, J. L., Une formule d'inversion de la transformeé de Laplace: Applications à la théorie des moments, Thèse de 3e cycle, Faculté des Sciences de l'Université de Paris, 1967.

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