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A global inverse theorem for combinations of Phillips operators - MaRDI portal

A global inverse theorem for combinations of Phillips operators (Q727555)

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scientific article; zbMATH DE number 6661798
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A global inverse theorem for combinations of Phillips operators
scientific article; zbMATH DE number 6661798

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    A global inverse theorem for combinations of Phillips operators (English)
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    7 December 2016
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    In terms of the Ditzian-Totik modulus of smoothness the author proves a global inverse theorem for approximation of bounded continuous functions on \([0,\infty)\) by linear combinations of Phillips operators (see [\textit{R. S. Phillips}, Ann. Math. (2) 59, 325--356 (1954; Zbl 0059.10704)]).
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    Ditzian-Totik modulus of smoothness
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    linear combinations
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    inverse theorems
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    Phillips operators
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