Absolute convergence of Fourier series of functions of λBV(p) and ϕλBV

DOI10.1007/BF01903586zbMath0538.42004MaRDI QIDQ3324422

Michael Schramm, Daniel Waterman

Publication date: 1982

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

zbMATH Keywords

absolute convergence\(\Lambda\)-bounded variation

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Functions of bounded variation, generalizations (26A45)

Related Items (14)

On weighted β-absolute convergence of double Fourier series ⋮ Absolute convergence of multiple Fourier series of functions of \(\phi \left( \Lambda ^1,\dots,\Lambda ^N\right) \)-bounded variation ⋮ Some applications of the condensation of the singularities of families of nonnegative functions ⋮ Embedding of classes of functions with bounded \(\Phi\)-variation into generalized Lipschitz spaces ⋮ Locally Lipschitz composition operators in spaces of functions of bounded variation ⋮ On absolute convergence of multiple Fourier series ⋮ On the coefficients of Vilenkin-Fourier series with small gaps ⋮ Inclusion of \(\varLambda BV^{(p)}\) spaces in the classes \(H_\omega^q\) ⋮ Properties of functions in the Wiener class \(\mathrm{BV}_p [a, b\) for \(0 < p < 1\)] ⋮ Relations between Schramm spaces and generalized Wiener classes ⋮ Estimates of \(L_p\) modulus of continuity of generalized bounded variation classes ⋮ Inclusions of Waterman-Shiba spaces into generalized Wiener classes ⋮ Relations between \(\mathrm{BV}_{*}(q;\alpha)\) and \(\Lambda_{*}\mathrm{BV}^{p}\) classes of functions ⋮ Relationships between \(\Phi\mathrm{BV}\) and \(\Lambda\mathrm{BV}\)

Cites Work

• On the Magnitude of Fourier Coefficients
• On Λ-bounded variation
• Unnamed Item

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