A New Estimate on the Rate of Convergence of Durrmeyer-Bézier Operators
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چکیده
منابع مشابه
A New Estimate on the Rate of Convergence of Durrmeyer-Bézier Operators
Recommended by Vijay Gupta We obtain an estimate on the rate of convergence of Durrmeyer-Bézier operaters for functions of bounded variation by means of some probabilistic methods and inequality techniques. Our estimate improves the result of Zeng and Chen 2000. In 2000, Zeng and Chen 1 introduced the Durrmeyer-Bézier operators D n,α which are defined as follows: D n,α f, x n 1 n k0 Q α nk x 1 ...
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is the Baskakov basis function. Note that (1.1) is well defined, for n ≥ r +2, provided that f(t) = O(tr ) as t → ∞. The operators (1.1) were first introduced by Sahai and Prasad [9]. They termed these operators as modified Lupaş operators. In 1991, Sinha et al. [10] improved and corrected the results of [9] and denoted Ṽn as modified Baskakov operators. The rate of convergence of the operators...
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2009
ISSN: 1029-242X
DOI: 10.1155/2009/702680