On an approximation family of discrete polynomial operators |
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Authors: | YuA Brudnyi IE Gopengauz |
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Institution: | 1. Department of Mathematics, Technion, Haifa, 32000, Israel;2. Department of Mathematics, National Research Technical University (MISA), Moscow, 119049, Russia |
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Abstract: | We present a new family of linear discrete polynomial operators giving a Timan type approximation theorem for functions of arbitrary smoothness. Using this we construct two families of operators of this kind to extend Freud type approximation results to functions of higher smoothness. |
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