Comparison of the Pr-integral with Burkill's integrals and some applications to trigonometric series

It is proved that the Pr-integral [9] which recovers a function from its derivative defined in the space Lr, 1≤r

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2023-07, Vol.523 (1), Article 127019
Main Authors: Musial, Paul, Skvortsov, Valentin, Tulone, Francesco
Format: Article
Language:English
Subjects:
Cesaro-Perron integral
Derivative in [formula omitted]
Fourier coefficients
Non-absolute integral
Perron-type integral
Trigonometric series
Online Access:Get full text
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Description
Summary:It is proved that the Pr-integral [9] which recovers a function from its derivative defined in the space Lr, 1≤r
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2023.127019