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Statistical Blending-Type Approximation by a Class of Operators That Includes Shape Parameters λ and α.
- Source :
-
Mathematics (2227-7390) . Apr2022, Vol. 10 Issue 7, p1149-1149. 20p. - Publication Year :
- 2022
-
Abstract
- This paper is devoted to studying the statistical approximation properties of a sequence of univariate and bivariate blending-type Bernstein operators that includes shape parameters α and λ and a positive integer. An estimate of the corresponding rates was obtained, and a Voronovskaja-type theorem is given by a weighted A-statistical convergence. A Korovkin-type theorem is provided for the univariate and bivariate cases of the blending-type operators. Moreover, the convergence behavior of the univariate and bivariate new blending basis and new blending operators are exhaustively demonstrated by computer graphics. The studied univariate and bivariate blending-type operators reduce to the well-known Bernstein operators in the literature for the special cases of shape parameters α and λ , and they propose better approximation results. [ABSTRACT FROM AUTHOR]
- Subjects :
- *COMPUTER graphics
*INTEGERS
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 10
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 156324888
- Full Text :
- https://doi.org/10.3390/math10071149