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- W4315798429 abstract "It is proved that the Pr-integral [9] which recovers a function from its derivative defined in the space Lr, 1≤r<∞, is properly included in Burkill's trigonometric CP- and SCP-integrals. As an application to harmonic analysis, a de La Vallée-Poussin-type theorem for the Pr-integral is obtained: convergence nearly everywhere of a trigonometric series to a Pr-integrable function f implies that this series is the Pr-Fourier series of f." @default.
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- W4315798429 date "2023-07-01" @default.
- W4315798429 modified "2023-09-26" @default.
- W4315798429 title "Comparison of the P-integral with Burkill's integrals and some applications to trigonometric series" @default.
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- W4315798429 doi "https://doi.org/10.1016/j.jmaa.2023.127019" @default.
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