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Some approximation results for Durrmeyer operators. (English) Zbl 1214.41009

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 \(n>3c\).

MSC:

41A50 Best approximation, Chebyshev systems
41A35 Approximation by operators (in particular, by integral operators)
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