On absolute convergence of Fourier series
Masako Izumi,Shin-ichi Izumi +1 more
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This article is published in Arkiv för Matematik.The article was published on 1967-11-01 and is currently open access. It has received 49 citations till now. The article focuses on the topics: Discrete Fourier series & Fourier sine and cosine series.read more
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Journal ArticleDOI
THE IMBEDDING OF CERTAIN FUNCTION CLASSES Hpω
TL;DR: In this article, sufficient conditions on the modulus of continuity ω(δ) are found for an imbedding of function classes Hpω( δ) ⊂ (L).
Journal ArticleDOI
On the magnitude of Fourier coefficients
Michael Schramm,Daniel Waterman +1 more
TL;DR: In this paper, it was shown that a real-valued function on an interval 7 of R1 is of A-bounded variation (ABV) if, for every {7"}, the intervals 7n, n = 1,2,..., to be nonoverlapping.
Book ChapterDOI
A Class of I.M. Vinogradov’s Series and Its Applications in Harmonic Analysis
TL;DR: A survey of the author's recent research in the one-dimensional trigonometric series of the type is given in this article, where the authors present a survey of their work.
Journal ArticleDOI
Some Problems in the Theory of Simple and Multiple Trigonometric and Orthogonal Series
TL;DR: In this paper, a brief account of the results on multiple trigonometric and orthogonal series that have been obtained so far and are fundamental from our point of view is given.
Journal ArticleDOI
On moduli of smoothness of fractional order.
TL;DR: In this paper, the properties of moduli of smoothness of fractional order functions were investigated and the main result was that the equivalence of the modulus of the smoothness and a function from some class can be found.
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