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
Keyword(s):
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.
1989 ◽
Vol 41
(6)
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pp. 694-699
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1965 ◽
Vol 69
(651)
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pp. 205-205
2019 ◽
Vol 38
(5)
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pp. 981-998
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