본문 바로가기
KERD
논문KCI 등재

THE LACUNARY STRONG ZWEIER CONVERGENT SEQUENCE SPACES

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

In this paper we introduce and study the lacunary strong Zweier sequence spaces Nθµ [Z], Nθ[Z] consisting of all sequences x = (xk)such that (Zx) in the space Nµ and Nθµ respectively, which is normed. Also, prove that N0µ [Z], Nµ[Z] are linearly isomorphic to the space N0µand Nµ, respectively. And we study some connections between lacunary strong Zweier sequence and lacunary statistical Zweier convergence sequence.

Abstract

In this paper we introduce and study the lacunary strong Zweier sequence spaces Nθµ [Z], Nθ[Z] consisting of all sequences x = (xk)such that (Zx) in the space Nµ and Nθµ respectively, which is normed. Also, prove that N0µ [Z], Nµ[Z] are linearly isomorphic to the space N0µand Nµ, respectively. And we study some connections between lacunary strong Zweier sequence and lacunary statistical Zweier convergence sequence.

참고문헌 (10)

  1. J. Boos, "Classical and Modern Methods in Summability" (2000), Oxford University Press
  2. B. Cohuldhary, "Functional Analysis with Applications", Jhon Wiley & Sons Inc,
  3. J. S. Connor, "The statistical and strong p-Ces`aro convergence spaces", Analysis, 8, pp.47~63 (1988)
  4. H. Fast, "Sur la convergence statistique", Colloq. Math., 2, pp.241~244 (1950)
  5. A. R. Freedman, "ome Ces`aro-type summability spaces", Pasific J. Math., 35, pp.293~305 (1981)
  6. A. R. Freedman, "Some Ces`aro-type summability spaces", Proc. London Math. Soc., 37(3), pp.508~520 (1978)
  7. J. A. Fridy, "On statistical convergence in Banach spaces", Analysis, 5, pp.309~313 (1985)
  8. T. ˇSalt, "On statistically convergent sequences numbers", Math. Slovaca, 30, pp.139~150 (1980)
  9. M. S¸eng¨on¨ul, "On The Zweier Space", Demonstratio Mathematica, XL(1), pp.181~186 (2005)
  10. A. Wilansky, "Summability through Functional Analysis", North-Holland Matematics Studies, 85 (1984)

관련 논문AI추천

이 간행물의 다른 논문 (15건)