Some properties of the sum of the moduli of the terms of a grouped trigonometric series (Q2914408)

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scientific article; zbMATH DE number 6084154
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Some properties of the sum of the moduli of the terms of a grouped trigonometric series
scientific article; zbMATH DE number 6084154

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    Some properties of the sum of the moduli of the terms of a grouped trigonometric series (English)
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    19 September 2012
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    absolute convergence
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    grouped trigonometric series
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    Interesting results concerning trigonometric series grouped in a certain way and such that the coefficients are monotonic in each group are obtained in this paper. In particular, necessary and sufficient conditions for this sum to lie in the spaces \(L^p\) are obtained.
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