Zhao, Yi; Zhou, Songping More on \(L^{p}\)-integrability. (English) Zbl 1334.42006 J. Math. Inequal. 10, No. 1, 159-166 (2016). Summary: In this paper, we give a further generalization to \(L^p\)-integrability of trigonometric series connected with derivatives of the sum-functions. MSC: 42A16 Fourier coefficients, Fourier series of functions with special properties, special Fourier series 42A32 Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) 42A50 Conjugate functions, conjugate series, singular integrals Keywords:trigonometric series; Fourier coefficients; \(L^p\)-integrability; mean value bounded variation condition; monotonicity PDFBibTeX XMLCite \textit{Y. Zhao} and \textit{S. Zhou}, J. Math. Inequal. 10, No. 1, 159--166 (2016; Zbl 1334.42006) Full Text: DOI