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NEW SEQUENCE SPACES VIA ORLICZ FUNCTIONS

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In this article we define new sequence spaces and introduce the notion of λ-almost statistical convergence of weight ˆg : [0,∞) → [0,∞) where ˆg(yr) → ∞ for any sequence (yr) in [0,∞) with yr → ∞. Additionally, we primarily investigate relationship between the spaces ˆSgλ and [ˆVgτ,λ,Λ] .

Abstract

In this article we define new sequence spaces and introduce the notion of λ-almost statistical convergence of weight ˆg : [0,∞) → [0,∞) where ˆg(yr) → ∞ for any sequence (yr) in [0,∞) with yr → ∞. Additionally, we primarily investigate relationship between the spaces ˆSgλ and [ˆVgτ,λ,Λ] .

참고문헌 (24)

  1. M. Balcerzak, "Generalized kinds of density and the associated ideals", Acta Math. Hungar., 147(1), pp.97~115 (2015)
  2. S. Banach, "Th´eorie des Op´erations Lineaires" (1955), Chelsea Publ. Co.
  3. S. Bhunia, "Restricting statistical convergence", Acta Math. Hungar, 134(1-2), pp.153~161 (2012)
  4. R. C. Buck, "Generalized asymptotic density", Amer. J. Math, 75, pp.335~346 (1953)
  5. R. Colak, "λ-statistical convergence of order α", Acta Math. Scientia, 31B(3), pp.953~959 (2011)
  6. R. Colak, "λ-almost statistical convergence of order α", Ann. Sti. Ale Univ. ”AL. I. CUZA” Din Iasi, LX, pp.437~448 (2014)
  7. J. Connor, "the statistical and and strong p-Ces´aro convergence of sequences", Analysis, 8, pp.207~212 (1998)
  8. H. Fast, "Sur la convergence statistique", Colloq. Math, 2, pp.41~44 (1951)
  9. J. A. Fridy, "On statistical convergence", Analysis, 5, pp.301~313 (1985)
  10. M. A. Krasnoselskii, "Convex functions and Orlicz Spaces" (1961)
  11. G. G. Lorentz, "A contribution to the theory of divergent sequences", Acta Math, 80, pp.167~190 (1948)
  12. I. J. Maddox, "Sequence spaces defined by a modulus", Math. Proc. Cambridge Philos. Soc., 100, pp.161~166 (1986)
  13. I. J. Maddox, "Spaces of strongly summable sequences", Quart. J. Math., 18, pp.345~355 (1967)
  14. E. Malkowsky, "Some λ-sequence spaces defined by a modulus", Arch. Math., 36, pp.219~228 (2000)
  15. M. Mursaleen, "λ-statistical convergence", Math. Slovaca, 50, pp.111~115 (2000)
  16. M. Mursaleen, "Statistical summability and approximation by de la Vall´ee-Poussin mean", Appl. Math. Letters, 24(3), pp.320~324 (2011)
  17. S. D. Parashar, "Sequence spaces defined by Orlicz functions", Indian J. Pure appl. Math., 25(4), pp.419~428 (1994)
  18. W. H. Ruckle, "FK Spaces in which the sequence of coordinate vectors in bounded", Canad. J. Math., 25, pp.973~978 (1973)
  19. A. Sahiner, "New sequence spaces in n-normed spaces with respect to an Orlicz function", Aligarh Bull. Math, 27(1), pp.53~58 (2008)
  20. T. ˇSal´at, "On statistically convergent sequences of real numbers", Math. Slovaca, 30, pp.139~150 (1980)
  21. E. Savas, "Strong almost convergence and almost λ-statistical convergence", Hokkaido Math. J., 29(3), pp.531~536 (2000)
  22. I. J. Schoenberg, "The integrability of certain functions and related summability methods", Amer. Math. Monthly, 66, pp.361~375 (1959)
  23. B. C. Tripathy, "On a class generalized lacunary difference sequence spaces on defined by Orlicz function", Acta Mathematica Applicata Sinica, 20(2), pp.231~238 (2004)
  24. B. C. Tripathy, "Generalized Difference Sequence Spaces Defined by Orlicz Function in a Locally Convex Space", J. Anal. Appl., 1(3), pp.175~192 (2003)

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