用矩阵法求$r$倍微分傅里叶级数和$r$倍微分共轭傅里叶级数在$p \geqslant 1$次上的绝对和强求和性

Q4 Mathematics

Researches in Mathematics Pub Date : 2021-10-06 DOI:10.15421/247719

N. Polovina

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引用次数: 0

摘要

建立了$r$次微分傅立叶级数在$\gamma = \| \gamma_{nk} \|$为级数到序列的变换矩阵点上$|\gamma|_p$ -和$[\gamma]_p$ - $p \geqslant 1$次可和的条件。对于$r$次微分共轭傅里叶级数也考虑了类似的条件。

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Absolute and strong summability in degree $p \geqslant 1$ of $r$ times differentiated Fourier series and $r$ times differentiated conjugate Fourier series by matrix methods

We establish conditions of $|\gamma|_p$- and $[\gamma]_p$-summability in degree $p \geqslant 1$ of $r$ times differentiated Fourier series at the point where $\gamma = \| \gamma_{nk} \|$ is the matrix of transformation of series to sequence. Analogous conditions are considered also for $r$ times differentiated conjugate Fourier series.

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来源期刊

Researches in Mathematics

CiteScore

0.50

自引率

0.00%

发文量

审稿时长

16 weeks