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  Volume 6, Issue 4, Article 106
 
Rate of Convergence of Chlodowsky Type Durrmeyer Operators

    Authors: Ertan Ibikli, Harun Karsli,  
    Keywords: Approximation, Bounded variation, Chlodowsky polynomials, Durrmeyer Operators, Chanturiya's modulus of variation, Rate of convergence.  
    Date Received: 16/09/05  
    Date Accepted: 23/09/05  
    Subject Codes:

41A25, 41A35, 41A36.

 
    Editors: Alexandru Lupas (1942-2007),  
 
    Abstract:

In the present paper, we estimate the rate of pointwise convergence of the Chlodowsky type Durrmeyer Operators $ D_{n}(f,x)$ for functions, defined on the interval $ [0,b_{n}]$, $ (b_{n} rightarrow infty)$, extending infinity, of bounded variation. To prove our main result, we have used some methods and techniques of probability theory.

         
       
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