Some approximation properties of \(q\)-Chlodowsky operators (Q2467416)
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| Language | Label | Description | Also known as |
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| English | Some approximation properties of \(q\)-Chlodowsky operators |
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Some approximation properties of \(q\)-Chlodowsky operators (English)
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21 January 2008
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The \(q\)-Bernstein operators were introduced by \textit{G. M. Phillips} [Ann. Numer. Math. 4, No. 1--4, 511--518 (1997; Zbl 0881.41008)]. In this paper, the authors introduce \(q\) analogue of Chlodowsky operators. These operators are linear and positive for \( 0 < q \leq 1.\) The authors establsih some convergence results using the Borovkin-Korovkin theorem. They dtermine the rates of convergence, using different methods and investigate the monotonicity property of \(q\)-Chlodowsky operators.
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\(q\)-Chlodowsky polynomials
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rate of convergence
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modulus of continuity
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Peetre-\(K \)functional
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Lipschitz space
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