L\({}^ 1\)-convergence of Fourier series with O-regularly varying quasimonotonic coefficients

DOI10.1016/0021-9045(90)90081-ZzbMath0709.42006OpenAlexW1965273992MaRDI QIDQ921395

Vera B. Stanojevic

Publication date: 1990

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(90)90081-z

zbMATH Keywords

O-regularly varying quasi-monotonic sequence

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Related Items (12)

Remarks on convergence of trigonometric series with special varying coefficients ⋮ Convergence of trigonometric series with general monotone coefficients ⋮ Trigonometric series with general monotone coefficients ⋮ Some new conditions in Fourier analysis and applications ⋮ Ultimate generalization to monotonicity for uniform convergence of trigonometric series ⋮ L¹-approximation of Fourier series of complex-valued functions ⋮ Best approximation and moduli of smoothness: Computation and equivalence theorems ⋮ On \(L_1\)-convergence of Fourier series ⋮ On approximations for functions in the space of uniformly convergent Fourier series ⋮ On \(L\)-convergence of trigonometric series ⋮ On weighted L p integrability and approximation of trigonometric series ⋮ A new condition for certain trigonometric series

Cites Work

• Unnamed Item
• Convergence of Fourier series with complex quasimonotone coefficients and coefficients of bounded variation of order \(m^*\)
• On Weighted Integrability of Trigonometric Series and L 1 -Convergence of Fourier Series
• L 1 -Convergence of Fourier Series with Complex Quasimonotone Coefficients
• Quasi-Monotone Series

This page was built for publication: L\({}^ 1\)-convergence of Fourier series with O-regularly varying quasimonotonic coefficients