본문 바로가기
KERD
논문KCI 등재

Degree of Convergence for Fourier Series of Functions in the Class $L^{p}$-$BV$

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

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)

  1. R. Bojanic, "An estimate of the rate of convergence for Fourier series of functions of bounded variation", Publ.Inst.Math.(Beograd)(N.S.), 26(40), pp.57~60 (1979)
  2. R.E. Castillo, "On functions of (p; α)-bounded variation", Real Anal.Exchange, 34, pp.49~60 (2008)
  3. G. Folland, "Real analysis:Modern technique and their applications" (1999), Wiley Inter-science
  4. C. Jordan, "Sur la series de Fourier", C.R.Math.Acad.Sci.Paris, 2, pp.228~230 (1881)
  5. F. Moricz, "A quantified version of the Dirichlet-Jordan test in L1-norm", Rend.Circ.Mat.Palermo, 45(2), pp.19~24 (1996)
  6. J. Musielak, "On generalized variations I", Studia Math, 18, pp.11~41 (1959)
  7. 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)
  8. E.C. Titchmarsh, "The theory of functions" (1976), Oxford Univ. Press
  9. D. Waterman, "On Λ-bounded variations", Studia Math, 57, pp.33~45 (1976)
  10. D. Waterman, "Fourier series of functions of Λ-bounded variation", Pro.Amer.Math.Soc, 74, pp.119~123 (1979)
  11. A. Zygmund, "Trigonometric Series, Vol. 1" (1959), Cambridge Univ. Press UK

관련 논문AI추천

이 간행물의 다른 논문 (9건)