Abstract
In this paper it is given an extension to two variables of the Bernstein \(B_{n,r}f\) operators and there are investigated their approximation properties.
Authors
Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Keywords
Bernstein polynomials; approximation.
Paper coordinates
O. Agratini, On simultaneous approximation by Stancu-Bernstein operators, Studia Universitatis Babes-Bolyai Mathematica, 42 (1997) no. 2, pp. 5-8.
About this paper
Journal
Studia Universitatis Babes-Bolyai Mathematica
Publisher Name
DOI
Print ISSN
1843-3855 ??
Online ISSN
2065-9490
ISSN-L 1843-3855 ??
google scholar link
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[4] Schempp, W., Bernstein polynomials in several variables, Constructive theory of functions of several variables (Obsewolfach, 1976), Lecture Notes in Mathematics, no.571, Springer Verlag, Berlin, 1977, 212-219
[5] Stancu, D.D., On the approximation of funcitons of two variables by means of a class of linear operators (Proc. Conference on Constructive Function Theory, Varna, 1971), Publishing House Bulgar, Acad, Sci., Sofia, 1972, 327-336.