On Riemann summable trigonometric series (Q1174601)

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scientific article; zbMATH DE number 9133
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English
On Riemann summable trigonometric series
scientific article; zbMATH DE number 9133

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    On Riemann summable trigonometric series (English)
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    25 June 1992
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    By the aid of three integrals introduced in the article, the authors prove some theorems concerning to \((R,k)\)- summability of a trigonometric series. They make use of Peano derivatives and give some theorems on convexity of a function or its Peano derivatives.
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    summability
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    trigonometric series
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    Peano derivatives
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    convexity
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    \(P^ k\)-Fourier series
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