On the \(q\)-derivatives of a new sequence of operators (Q2871254)

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scientific article; zbMATH DE number 6249037
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On the \(q\)-derivatives of a new sequence of operators
scientific article; zbMATH DE number 6249037

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    22 January 2014
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    \(q\)-integer
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    modulus of continuity
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    On the \(q\)-derivatives of a new sequence of operators (English)
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    For the operators introduced in [\textit{A. Aral} and \textit{V. Gupta}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 3--4, 1171--1180 (2010; Zbl 1180.41012)], the authors prove a simultaneous approximation by the \(q\)-derivatives using the \(q\)-moments. It is also proved that for fixed \(q\) these operators do not possess simultaneous approximation properties.
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