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On the Asymptotic Behavior of Sequences of Positive Linear Approximation Operators

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Mathematical Analysis, Approximation Theory and Their Applications

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 111))

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Abstract

We provide an analysis of the rate of convergence of positive linear approximation operators defined on C[0, 1]. We obtain a sufficient condition for a sequence of positive linear approximation operators to possess a Mamedov-type property and give an application to the Durrmeyer approximation process.

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Correspondence to Mircea Ivan .

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Gavrea, I., Ivan, M. (2016). On the Asymptotic Behavior of Sequences of Positive Linear Approximation Operators. In: Rassias, T., Gupta, V. (eds) Mathematical Analysis, Approximation Theory and Their Applications. Springer Optimization and Its Applications, vol 111. Springer, Cham. https://doi.org/10.1007/978-3-319-31281-1_11

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