본문 바로가기
KERD
논문KCI 등재

SOME SUMMABLE SEQUENCE SPACES DEFINED BY THE WEIGHTED MEAN METHOD AND MODULUS FUNCTIONS

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

In this paper, we define the concept of [ N⁻λ, pn, f ] ─ summability, and give the relation between [ N⁻λ, pn] ─ summability and [ N⁻λ, pn, f ] ─ summability. We also study some connections between weighted statistically λ ─ convergence (or SN⁻λ ─ convergence) and [N⁻λ, pn, f ] ─ summability.

Abstract

In this paper, we define the concept of [ N⁻λ, pn, f ] ─ summability, and give the relation between [ N⁻λ, pn] ─ summability and [ N⁻λ, pn, f ] ─ summability. We also study some connections between weighted statistically λ ─ convergence (or SN⁻λ ─ convergence) and [N⁻λ, pn, f ] ─ summability.

참고문헌 (17)

  1. H. Fast, "Sur Ia convergence statistique", Colloq. Math., 2, pp.241~244 (1951)[DOI]
  2. I. .J. Schoenberg, "The integrability of certain functions and related summability methods", Amer. Math. Monthly, 66, pp.361~375 (1959)[DOI]
  3. J.A. Fridy, "On statistical convergence", Analysis, 5, pp.301~313 (1985)
  4. J.S. Connor, "The statistical and strong p- Cesaro convergence of seqnences", Analysis, 8, pp.47~63 (1988)
  5. J.S. Connor, "On strong matrix summability with respect to a modulus and statistical convergence", Canad. Math. Bull., 32, pp.194~198 (1989)[DOI]
  6. H. Nakano, "Concave modulars", J. Math. Soc. Japan, 5, pp.29~49 (1953)[DOI]
  7. F. Moricz, "Tauberian conditions under which statistical convergence follows from statistical summability by weighted means", Studia Sci. Math. Hungar., 41, pp.391~403 (2004)
  8. V. Karakaya, "Weighted statistical convergence", Iran. J. Sci. Technol. Trans. A Sci., 33, pp.219~223 (2009)
  9. M. Mursaleen, "Weighted statistical convergence and its application to Korovkin type approximation theorem", Appl. Math. Comput., 218, pp.9132~9137 (2012)
  10. C. Belen, "Generalized weighted statistical convergence and application", Appl. Math. Comput., 219, pp.9821~9826 (2013)
  11. M. Mursaleen, "<TEX>$\Delta$<", TEX>-statistical convergence, 2000, pp.50, 111~115
  12. M. H. Ruckle, "F K spaces in which the sequnence of coordinate vectors is bonnded", Canad. J. Math., 25, pp.973~978 (1973)[DOI]
  13. I. J. Maddox, "Sequence spaces defined by a modulus", Math. Proc. Camb. Philos. Soc., 100, pp.161~166 (1986)[DOI]
  14. I. J. Maddox, "Inclusions between FK spaces and Kuttner's theorem", Math. Proc. Camb. Philos. Soc., 101, pp.523~527 (1987)[DOI]
  15. S. Pehlivan, "Lacunary strong convergence with respect to a sequence of modulus functions", Comment. Math. Univ. Carolin., 36, pp.69~76 (1995)
  16. S. Pehlivan, "Some sequence spaces defined by a modulus", Math. Slovaca, 45, pp.275~280 (1995)
  17. E. Savas, "On some generalized sequence spaces defined by a modulus", Indian .J. Pure Appl. Math., 30, pp.459~464 (1999)

관련 논문AI추천

이 간행물의 다른 논문 (12건)