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APPROXIMATION BY q-DURRMEYER - STANCU POLYNOMIALS IN COMPACT DISKS IN THE CASE OF q > 1.
- Source :
-
Miskolc Mathematical Notes . 2017, Vol. 18 Issue 2, p859-872. 14p. - Publication Year :
- 2017
-
Abstract
- In this paper, the order of simultaneous approximation and Voronovskaja-type results with quantitative estimate for complex q-Kantorovich polynomials (q > 0) attached to analytic functions on compact disks are obtained. In particular, it is proved that for functions analytic in {z ∊ C : ∣z∣ < R}, R > q, the rate of approximation by the q- Durrmeyer - Stancu operators (q > 1) is of order q-n versus 1/n for the classical q-Durrmeyer - Stancu operators. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17872405
- Volume :
- 18
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Miskolc Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 129980266
- Full Text :
- https://doi.org/10.18514/MMN.2017.1745