Rate of Convergence of Chlodowsky-Type Bernstein Operators for Functions of Bounded Variation |
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| Authors: | H. Karsli E. Ibikli |
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| Affiliation: | 1. Department of Mathematics , Faculty of Science, Ankara University , Tandogan, Ankara, Turkey karsli@science.ankara.edu.tr;3. Department of Mathematics , Faculty of Science, Ankara University , Tandogan, Ankara, Turkey |
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| Abstract: | In the current paper, we estimate the rate of pointwise convergence of the Chlodowsky-type Bernstein operators C n (f,x) for functions defined on the interval [0,b n ], for b n → ∞ as n → ∞, which are of bounded variation on [0, ∞). To prove our main result, we have used some methods and techniques from probability theory. |
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| Keywords: | Approximation Bernstein–Chlodowsky polynomials Bounded variation Chanturiya variation Rate of convergence |
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