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. (~)
✦ LIBER ✦
Simultaneous approximation for the Bézier variant of Baskakov-Beta operators
✍ Scribed by N.K. Govil; Vijay Gupta
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 179 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0895-7177
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✦ Synopsis
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.
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