A new descriptive characterization of the \(HK_r \)-integral and its inclusion in Burkill's integrals

DOI10.1016/J.JMAA.2024.128758MaRDI QIDQ6627003

Francesco Tulone, Piotr Sworowski, Paul M. Musial, Valentin Skvortsov

Publication date: 29 October 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Fourier coefficientstrigonometric seriesCesàro-Perron integralnon-absolute integralHenstock-Kurzweil-type integral\( L^r\)-derivative

Mathematics Subject Classification ID

Functions of one variable (26Axx) Harmonic analysis in one variable (42Axx) Classical measure theory (28Axx)

Cites Work

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• The 𝐻𝐾ᵣ-integral is not contained in the 𝑃ᵣ-integral
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