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Statistical Approximation by (p, q)-analogue of Bernstein-Stancu Operators.
- Source :
-
Azerbaijan Journal of Mathematics . Jul2018, Vol. 8 Issue 2, p100-121. 22p. - Publication Year :
- 2018
-
Abstract
- In this paper, some approximation properties of (p, q)-analogue of Bernstein-Stancu operators are studied. Rate of statistical convergence by means of modulus of continuity and Lipschitz type maximal functions has been investigated. Monotonicity of (p, q)-Bernstein-Stancu operators and a global approximation theorem by means of Ditzian-Totik modulus of smoothness is established. A quantitative Voronovskaja type theorem is developed for these operators. Furthermore, we show comparisons and some illustrative graphics for the convergence of operators to a function. [ABSTRACT FROM AUTHOR]
- Subjects :
- *STOCHASTIC convergence
*INTEGERS
*CONVEX functions
Subjects
Details
- Language :
- English
- ISSN :
- 22186816
- Volume :
- 8
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Azerbaijan Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 130642036