Asymptotic approximation of functions and their derivatives by generalized Baskakov-Százs-durrmeyer operators
✍ Scribed by Ulrich Abel; Vijay Gupta; Mircea Ivan
- Publisher
- Springer
- Year
- 2005
- Tongue
- English
- Weight
- 436 KB
- Volume
- 21
- Category
- Article
- ISSN
- 1573-8175
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## Abstract Pointwise estimates are obtained for the simultaneous approximation of a function f ϵ__C__^__q__^[‐1,1] and its derivatives f^(1)^, …, f^(q)^ by means of an arbitrary sequence of bounded linear projection operators __L__~__n__~ which map __C__[‐1,1] into the polynomials of degree at mos
this paper, the approximation behaviours of two generalized Meyer-KBnig and Zeller type operators Mn,a! (f, z) and a,,,, (f, z) are studied. By means of the decomposition technique of functions of bounded variation and the method of Bojanic [l], Bojanic and Vuilleumier [2], and Cheng (31, together w