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On discrete \(q\)-beta operators - MaRDI portal

On discrete \(q\)-beta operators (Q638634)

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scientific article; zbMATH DE number 5947321
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On discrete \(q\)-beta operators
scientific article; zbMATH DE number 5947321

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    On discrete \(q\)-beta operators (English)
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    13 September 2011
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    The authors propose and study a \(q\)-analogue of the discrete beta operators. They establish some global direct error estimates for such operators in terms of the second order Ditzian-Totik modulus of smoothness. At the end, they study the limiting case of these \(q\)-beta operators.
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    q-beta operators
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    q-integer
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    Ditzian-Totik modulus of smoothness
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