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On Durrmeyer Type λ-Bernstein Operators via (p, q)-Calculus.
- Source :
-
Journal of Function Spaces . 11/27/2020, p1-11. 11p. - Publication Year :
- 2020
-
Abstract
- In the present paper, Durrmeyer type λ -Bernstein operators via (p , q)-calculus are constructed, the first and second moments and central moments of these operators are estimated, a Korovkin type approximation theorem is established, and the estimates on the rate of convergence by using the modulus of continuity of second order and Steklov mean are studied, a convergence theorem for the Lipschitz continuous functions is also obtained. Finally, some numerical examples are given to show that these operators we defined converge faster in some λ cases than Durrmeyer type (p , q)-Bernstein operators. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CONTINUOUS functions
*CENTRAL limit theorem
Subjects
Details
- Language :
- English
- ISSN :
- 23148896
- Database :
- Academic Search Index
- Journal :
- Journal of Function Spaces
- Publication Type :
- Academic Journal
- Accession number :
- 147247319
- Full Text :
- https://doi.org/10.1155/2020/8832627