## Abstract The paper focuses at the estimates for the rate of convergence of the __q__ ‐Bernstein polynomials (0 < __q__ < 1) in the complex plane. In particular, a generalization of previously known results on the possibility of analytic continuation of the limit function and an elaboration of th
The rate of convergence of q-Durrmeyer operators for 0q<1
✍ Scribed by Vijay Gupta; Wang Heping
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 87 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1012
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✦ Synopsis
Abstract
In the present paper, we introduce certain q‐Durrmeyer operators and estimate the rate of convergence for continuous functions in terms of modulus of continuity. The obtained estimate is sharp with respect to order. Copyright © 2008 John Wiley & Sons, Ltd.
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