On the Rate of Convergence of the Generalized Durrmeyer Type Operators for Functions of Bounded Variation
✍ Scribed by Xiao-Ming Zeng; Wenzhong Chen
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 125 KB
- Volume
- 102
- Category
- Article
- ISSN
- 0021-9045
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📜 SIMILAR VOLUMES
In this paper we study the rate of convergence of two Bernstein Be zier type operators B (:) n and L (:) n for bounded variation functions. By means of construction of suitable functions and the method of Bojanic and Vuillemier (J. Approx. Theory 31 (1981), 67 79), using some results of probability
## 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.