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On the [..]- summability and [...]-core

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EN
Abstrakty
EN
In [6] and [9], the concepts of [..]-core and statistical core of a bounded number sequence x have been introduced and also some inequalities which are ana-logues of Knopp's core theorem have been proved. In this paper, using the concept of [..]-summability introduced by Savas, we characterize the matrices of the classes (...) and determine necessary and sufficient conditions for a matrix B to satisfy [..].
Wydawca
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859--867
Opis fizyczny
Bibliogr. 14 poz.
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autor
Bibliografia
  • [1] J. S. Connor, The statistical and strong p-Cesaro convergence of sequences, Analysis 8 (1988), 47-63.
  • [2] R. G. Cooke, Infinite Matrices and Sequence Spaces, Macmillan, (1950).
  • [3] H. Çoşkun, C. Çakan and Mursaleen, On the statistical and σ-core, Studia Math. 154 (1) (2003).
  • [4) G. Das, Sublinear functionals and a class of conservative matrices, Bull. Inst. Math. Acad. Sinica, 15 (1987), 89-106.
  • [5] S. L. Devi, Sanach limits and infinite matrices, J. London Math. Soc. 12 (1976), 397-401.
  • [6] J. Fridy and C. Orhan, Statistical limit superior and limit mferior, Proc. Amer. Math. Soc. 125 (1997), 3625-3631.
  • [7] G. G. Lorentz, A contribution to the theory of divsrgent sequences, Acta Math. 80 (1948), 167-190.
  • [8] I. J. Maddox, Eiements of Functional Analysis, Cambridge Univ. Press, (1970).
  • [9| S. L. Mishra, B. Satapathy, N. Rath, Invariant means and σ-core, J. Indian Math. Soc. 60 (1994), 151-158.
  • [10] Mursaleen, On sorae new invariant matrix methods of summability, Quart. J. Math. Oxford 2,34 (1983), 77-86.
  • [11] C. Orhan, Sublinear functionals and Knopp's core theorem, Internat. J. Math. and Math. Sci. 3 (1990), 461-468.
  • [12] R. Raimi, Invariant means and invariant matrix methods of summability, Duke Math. J. 30 (1963), 81-94.
  • [13] P. Schaefer, Infinite matrices and invariant means, Proc. Amer. Math. Soc. 36 (1972), 104-110.
  • [14] E. Savaş, Strongly σ-summable and strongly σ-convergent sequences, Bull. Call. Mat. Soc. 81 (1989), 173-178.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA5-0022-0012
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