Rate of convergence by the Bezier variant of Philips operators for bounded variation functions (Q1884552)

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scientific article; zbMATH DE number 2113501
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Rate of convergence by the Bezier variant of Philips operators for bounded variation functions
scientific article; zbMATH DE number 2113501

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    Rate of convergence by the Bezier variant of Philips operators for bounded variation functions (English)
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    1 November 2004
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    The Bézier variant of Phillips operators is introduced.The rate of convergence for these operators is studied ,when the approximated function is a bounded variation function.The paper generalizes (for the Bezier variant) the results earlier obtained by \textit{V. Gupta} and \textit{G. S. Srivastava} [On the rate of convergence of Phillips operators for functions of bounded variation, Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 36, 123--130 (1996; Zbl 0867.41015)].
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    Phillips operators
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    bounded variation function
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    rate of convergence
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