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
Convergence rate of a new Bezier variant of Chlodowsky operators to bounded variation functions
✍ Scribed by Harun Karsli; Ertan Ibikli
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 256 KB
- Volume
- 212
- Category
- Article
- ISSN
- 0377-0427
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✦ Synopsis
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.
📜 SIMILAR VOLUMES
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. (~)
In the present paper we investigate the behavior of the operators L n (f , x), defined as and give an estimate of the rate of pointwise convergence of these operators on a Lebesgue point of bounded variation function f defined on the interval (0, ∞). We use analysis instead of probability methods t