Convergence and integrability of trigonometric series with coefficients of bounded variation of order (m, p)
Abstract
Converges a.e. and that the well-known condition Cw of J. W. Garrett and C. V. Stanojevic [4, 3] implies that the series (*) is the Fourier series of its sum. This generalizes results of W. O. Bray and C. V. Stanojevic [1]. An important consequence of the main result is that nΔc(n) = 0(1), ƖnƖ → ∞, implies that the condition Cw is equivalent to the de la Valláe Poussin summability of partial sums (Sn(c)) as conjectured in [8]. © 1992 American Mathematical Society.
Department(s)
Mathematics
Document Type
Article
DOI
https://doi.org/10.1090/S0002-9939-1992-1068132-0
Keywords
Convergence and integrability of trigonometric series, Sequences of bounded variation of order (m, p)
Publication Date
1-1-1992
Recommended Citation
Stanojevic, Vera B. "Convergence and integrability of trigonometric series with coefficients of bounded variation of order (��, ��)." Proceedings of the American Mathematical Society 114, no. 3 (1992): 711-718.
Journal Title
Proceedings of the American Mathematical Society
