Bernstein-Schurer bivariate operators

Authors

  • Dan Bărbosu North University of Baia Mare, Romania

DOI:

https://doi.org/10.33993/jnaat332-770

Keywords:

Bernstein operators, Bernstein-Schurer operators, bivariate operators, Korovkin-type theorem, bivariate modulus of smoothness
Abstract views: 272

Abstract

The sequence of bivariate operators of Bernstein-Schurer is constructed and some approximation properties of this sequence are studied.

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References

Agratini O., Approximation by linear operators, Presa Universitară Clujeană, 2000 (in Romanian).

Bărbosu D., Properties of the fundamental polynomials of Bernstein-Schurer (to appear in Proceedings of ICAM 3).

Bărbosu D., The Voronovskaja theorem for the Bernstein-Schurer operators (to appear in Proceed. of ICAM 3).

Devols J. and Schempp W., Boolean Methods in Interpolation and Approximation, Longman Scientific & Technical, 1989.

Schurer F., Linear positive operators in approximation theory, Math. Inst. Techn. Univ. Delft. Report, 1962.

Stancu D. D., Numerical Analysis, Univ. Babeş-Bolyai, 1977 (in Romanian).

Stancu F., Approximation of functions of two and more variables by linear positive operators, Ph. D. Thesis, Univ. "Babeş-Bolyai", Cluj Napoca, 1984 (in Romanian).

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Published

2004-08-01

How to Cite

Bărbosu, D. (2004). Bernstein-Schurer bivariate operators. Rev. Anal. Numér. Théor. Approx., 33(2), 157–161. https://doi.org/10.33993/jnaat332-770

Issue

Vol. 33 No. 2 (2004)

Section

Articles

License

Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

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