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: 214

Abstract

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

Downloads

Download data is not yet available.

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).

Downloads

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

Section

Articles