본문 바로가기
KERD
논문KCI 등재

Degree of Approximation of Functions of Class $Zyg^{\omega}(\alpha,\gamma)$ by Cesaro means of Fourier series

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

In this paper, we investigate the degreeof approximation of a function $f$ belonging to the generalizedZygmund class $Zyg^{\omega}(\alpha,\gamma)$ by Cesaro means of itsFourier series.

Abstract

In this paper, we investigate the degreeof approximation of a function $f$ belonging to the generalizedZygmund class $Zyg^{\omega}(\alpha,\gamma)$ by Cesaro means of itsFourier series.

참고문헌 (10)

  1. Chandra, P, "Trigonometric approximation of functions in Lp-norm", J. Math. Anal. Appl, 275, pp.13~26 (2002)
  2. Khan, H.H, "On degree of approximation of functions belonging to class Lip(α, p)", Indian J. Pure Appl. Math, 5, pp.132~136 (1974)
  3. Lal, S., "Approximation of functions belonging to the generalized Lipschitz class by C1Np summability method of Fourier series", Appl. Math. Comput, 209, pp.346~350 (2009)
  4. Lal, S., "Approximation of functions of class Lip(α, r),(r ≥ 1), by (N, pn)(E, 1) summability means of Fourier series", Tamkang J. Math, 45, pp.243~250 (2014)
  5. Leindler, L, "Strong approximation and generalized Zygmund class", Acta Sci. Math, 43(3-4), pp.301~309 (1981)
  6. Mittal, M.L, "Using infinite matrices to approximate functions of class Lip(α, p) using trigonometric polynomials", J. Math. Anal. Appl, 326, pp.667~676 (2007)
  7. Moricz, F, "Enlarged Lipschitz and Zygmund classes of functions and Fourier transfor-mations", East J. Approx, 16(3), pp.259~271 (2010)
  8. Moricz, F., "Generalized Zygmund classes of functions and strong ap-proximation by Fourier series", Acta Sci. Math, 73(3-4), pp.637~647 (2007)
  9. Titchmarsh, E.C, "Theory of Functions" (1939), Oxford Univ. Press
  10. Zygmund, A, "Trigonometric Series, Vol. 1" (1959), Cambridge Univ. Press

관련 논문AI추천

이 간행물의 다른 논문 (4건)