Some approximation results for Durrmeyer operators (Q628910)

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scientific article; zbMATH DE number 5862491
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Some approximation results for Durrmeyer operators
scientific article; zbMATH DE number 5862491

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    Some approximation results for Durrmeyer operators (English)
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    8 March 2011
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    This paper deals with approximations on \(C_B([0,\infty))\). The authors consider a modified form of the Durrmeyer operator \(D^{\land}_n\) by composing it with the sequence \(\frac{(n-2c)x-1}{n}\) . Theorem 3.1 then gives an estimate for approximating \(f\) by \(D_n^{\land}(f)\) in terms of the \(\omega_2(f, \sqrt{\delta})\) function for \(n>3c\).
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    approximation of continuous functions
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    Durrmeyer type operators
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