Rate of convergence of nonlinear integral operators for functions of bounded variation
β Scribed by Harun Karsli; Vijay Gupta
- Publisher
- Springer Milan
- Year
- 2008
- Tongue
- English
- Weight
- 186 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0008-0624
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π 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
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, β). We use analysis instead of probability methods t