논문KCI 등재
Degree of Convergence for Fourier Series of Functions in the Class $L^{p}$-$BV$
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In this paper, the author introduces the class Lp-BV of func- tions which are of bounded variation in the sense of Lp-norm and inves- tigates the degree of convergence for Fourier series of functions belonging to this class.
Abstract
In this paper, the author introduces the class Lp-BV of func- tions which are of bounded variation in the sense of Lp-norm and inves- tigates the degree of convergence for Fourier series of functions belonging to this class.
참고문헌 (11)
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- M. Shiba, "On the absolute convergence of Fourier series of functions of class ΛBV (p)", Sci.Rep.Fac.Ed.Fukushima Univ, 30, pp.7~10 (1980)
- E.C. Titchmarsh, "The theory of functions" (1976), Oxford Univ. Press
- D. Waterman, "On Λ-bounded variations", Studia Math, 57, pp.33~45 (1976)
- D. Waterman, "Fourier series of functions of Λ-bounded variation", Pro.Amer.Math.Soc, 74, pp.119~123 (1979)
- A. Zygmund, "Trigonometric Series, Vol. 1" (1959), Cambridge Univ. Press UK
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