On power series with positive coefficients (Q1343573)

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scientific article; zbMATH DE number 713876
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On power series with positive coefficients
scientific article; zbMATH DE number 713876

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    On power series with positive coefficients (English)
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    25 July 1995
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    Some classical inequalities of Hardy and Littlewood are generalized initiated by the idea of M. Mateljevic and M. Pavlovic. Roughly speaking, the special functions \(x^ \alpha\) and \(x^ p\) appearing in the inequalities of Hardy and Littlewood are replaced by more general functions \(\alpha (x)\) and \(\Phi (x)\), furthermore, the so-called ``blocking method'' is used to get some slight improvement in the classical cases, too.
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    power series
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    blocking method
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    inequalities of Hardy and Littlewood
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