On the determination of the jump of a function by its Fourier series

DOI10.1007/BF01951351zbMath0634.42008WikidataQ57622003 ScholiaQ57622003MaRDI QIDQ1096834

Muharem Avdispahić

Publication date: 1986

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

Fourier seriesharmonic bounded variationjump of a function

Mathematics Subject Classification ID

Summability and absolute summability of Fourier and trigonometric series (42A24)

Related Items (7)

Determination of the jump of a function of generalized bounded variation from the derivatives of the partial sums of its Fourier series ⋮ Fejér's theorem for the classes \({\mathcal W}_ p\) ⋮ Determining the jump of a function of \(m\)-harmonic bounded variation by its Fourier series ⋮ On the jump behavior of distributions and logarithmic averages ⋮ On determination of jumps in terms of Abel-Poisson mean of Fourier series ⋮ Determination of jumps of distributions by differentiated means ⋮ Determination of a jump by conjugate Fourier-Jacobi series

Cites Work

• Unnamed Item
• Concepts of generalized bounded variation and the theory of Fourier series
• Fourier Series of Functions of Λ-Bounded Variation
• Functions Whose Fourier Series Converge for Every Change of Variable

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