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Korovkin type approximation theorem for functions of two variables in statistical sense.
- Source :
- Turkish Journal of Mathematics; 2010, Vol. 34 Issue 1, p73-83, 11p
- Publication Year :
- 2010
-
Abstract
- In this paper, using the concept of A-statistical convergence for double sequences, we investigate a Korovkin-type approximation theorem for sequences of positive linear operator on the space of all continuous real valued functions defined on any compact subset of the real two-dimensional space. Then we display an application which shows that our new result is stronger than its classical version. We also obtain a Voronovskaya-type theorem and some differential properties for sequences of positive linear operators constructed by means of the Bernstein polynomials of two variables. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 13000098
- Volume :
- 34
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Turkish Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 50567726
- Full Text :
- https://doi.org/10.3906/mat-0802-21