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
Rate of convergence of Baskakov-Bézier type operators for locally bounded functions
✍ Scribed by Xiao-Ming Zeng; V. Gupta
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 430 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
In this paper, we introduce Baskakov-B~zier operator Bn,c, which is an operator of probabilistic type. We study the rate of convergence of the operator Bn,a for locally bounded functions by using some inequalities and results of probability theory. Our estimate is essentially the best possible. (~) 2002 Elsevier Science Ltd. All rightsreserved.
📜 SIMILAR VOLUMES
In the present paper, we estimate the rate of pointwise convergence of the Bézier Variant of Chlodowsky operators C n, for functions, defined on the interval extending infinity, of bounded variation. To prove our main result, we have used some methods and techniques of probability theory.
In the present paper, we study the rate of convergence in simultaneous approximation for the Bézier variant of the Baskakov-Beta operators by using the decomposition technique of functions of bounded variation.