Some λ -sequence spaces defined by a modulus

Eberhard Malkowsky; Ekrem Savaş

Archivum Mathematicum (2000)

  • Volume: 036, Issue: 3, page 219-228
  • ISSN: 0044-8753

Abstract

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The main object of this paper is to introduce and study some sequence spaces which arise from the notation of generalized de la Vallée–Poussin means and the concept of a modulus function.

How to cite

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Malkowsky, Eberhard, and Savaş, Ekrem. "Some $\lambda $-sequence spaces defined by a modulus." Archivum Mathematicum 036.3 (2000): 219-228. <http://eudml.org/doc/248547>.

@article{Malkowsky2000,
abstract = {The main object of this paper is to introduce and study some sequence spaces which arise from the notation of generalized de la Vallée–Poussin means and the concept of a modulus function.},
author = {Malkowsky, Eberhard, Savaş, Ekrem},
journal = {Archivum Mathematicum},
keywords = {FK; AK spaces; paranorm; modulus functions; almost convergence; statistical convergence; de la Vallée–Poussin means; FK and AK spaces; paranorm; modulus functions; almost convergence; de la Vallée-Poussin means},
language = {eng},
number = {3},
pages = {219-228},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Some $\lambda $-sequence spaces defined by a modulus},
url = {http://eudml.org/doc/248547},
volume = {036},
year = {2000},
}

TY - JOUR
AU - Malkowsky, Eberhard
AU - Savaş, Ekrem
TI - Some $\lambda $-sequence spaces defined by a modulus
JO - Archivum Mathematicum
PY - 2000
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 036
IS - 3
SP - 219
EP - 228
AB - The main object of this paper is to introduce and study some sequence spaces which arise from the notation of generalized de la Vallée–Poussin means and the concept of a modulus function.
LA - eng
KW - FK; AK spaces; paranorm; modulus functions; almost convergence; statistical convergence; de la Vallée–Poussin means; FK and AK spaces; paranorm; modulus functions; almost convergence; de la Vallée-Poussin means
UR - http://eudml.org/doc/248547
ER -

References

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  5. I. J. Maddox, Sequence spaces defined by a modulus, Math. Proc. Camb. Phil. Soc., 100, (1986), 161–166 (1986) Zbl0631.46010MR0838663
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  7. Nakano H., Concave modulus, J. Math. Soc. Japon. 5, (1953), 29-49. (1953) MR0058882
  8. W. H. Ruckle, FK spaces in which the sequence of coordinate vectors is bounded, Canad. J. Math., 25, (1973), 973–978 (1973) Zbl0267.46008MR0338731
  9. E. Savas, On some generalized sequence spaces defined by a modulus, Indian J. Pure appl. Math., 30(5), (1999), 459–464 (1999) Zbl0928.40006MR1694693
  10. E. Savas, Strong almost convergence and almost λ –statistical convergence, Hokkaido J. Math. (to appear) Zbl0963.40001MR1795490
  11. A. Wilansky, Functional Analysis, Blaisdell Publishing Company, 1964 (1964) Zbl0136.10603MR0170186
  12. A. Wilansky, Summability through Functional Analysis, North–Holland Mathematical Studies 85, 1984 (1984) Zbl0531.40008MR0738632
  13. A. Zygmund, Trigonometric Series, Second Edition, Cambridge University Press (1979) (1979) 

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