Fourier series: New results and unsolved problems

DOI10.1007/BF01057524zbMath0702.42005OpenAlexW2052637350MaRDI QIDQ915056

A. I. Stepanets

Publication date: 1988

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01057524

zbMATH Keywords

trigonometric approximation through summability methods

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Trigonometric polynomials, inequalities, extremal problems (42A05)

Cites Work

• Behavior of sequences of partial Fourier sums of continuous functions near the points of their divergence
• Modules of half-decay of monotonic functions and the rate of convergence of Fourier series
• Approximation of periodic functions by Fourier sums in the mean
• Zur Grössenordnung des Restgliedes Fourierscher Reihen differenzierbarer Funktionen
• Approximation in the mean of functions of class \(W^rH[\omega_l\) by Fourier series]
• Deviation of Fourier sums on the classes of infinitely differentiable functions
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