The approximation of bivariate functions by modified bivariate operators and GBS operators associated

Authors

  • Ovidiu T. Pop National College "Mihai Eminescu", Satu Mare, Romania

DOI:

https://doi.org/10.33993/jnaat412-977

Keywords:

linear positive operators, GBS operators, bivariate operators, Voronovskaja-type theorem, approximation theorem, generalized boolean sum operator
Abstract views: 237

Abstract

In this paper we demonstrate a Voronovskaja-type theorem and approximation theorem for a class of modified operators and Generalized Boolean Sum (GBS) associated operators obtained (see (3)) from given operators.

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References

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O.T. Pop, The approximation of bivariate functions by bivariate operators and GBS operators, Rev. Anal. Numé. Théor. Approx., 40 (2011) no. 1, pp. 64-79, http://ictp.acad.ro/jnaat/journal/article/view/2011-vol40-no1-art7

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O.T. Pop, Voronovskaja-type theorems and approximation theorems for a class of GBS operators, Fasciculi Mathematici, 42 (2009), pp. 91-108.

A.F. Timan, Theory of Approximation of Functions of Real Variable, New York: Macmillan Co. 1963, MR22#8257. DOI: https://doi.org/10.1016/B978-0-08-009929-3.50008-7

E. Voronovskaja, Détermination de la forme asymptotique d'approximation des fonctions par les polynômes de M. Bernstein, C. R. Acad. Sci. URSS, 1932, pp. 79-85.

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Published

2012-08-01

How to Cite

Pop, O. T. (2012). The approximation of bivariate functions by modified bivariate operators and GBS operators associated. Rev. Anal. Numér. Théor. Approx., 41(2), 157–168. https://doi.org/10.33993/jnaat412-977

Issue

Vol. 41 No. 2 (2012)

Section

Articles

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