Rate of Convergence of Chlodowsky-Type Bernstein Operators for Functions of Bounded Variation

Author: Karsli H.   Ibikli E.  

Publisher: Taylor & Francis Ltd

ISSN: 0163-0563

Source: Numerical Functional Analysis and Optimization, Vol.28, Iss.3-4, 2007-03, pp. : 367-378

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Abstract

In the current paper, we estimate the rate of pointwise convergence of the Chlodowsky-type Bernstein operators Cn(f,x) for functions defined on the interval [0,bn], for bn → ∞ as n → ∞, which are of bounded variation on [0, ∞). To prove our main result, we have used some methods and techniques from probability theory.