Czasopismo
2006
|
Vol. 39, nr 3
|
531-538
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
In [8], the concepts of sigma-core of a bounded number sequence x have been introduced and also some inequalities which are analogues of Knopp's core theorem have been proved. In this paper, using the concept of Vsigma(A)-summabiIity introduced by Savas, we characterize the matrices of the class (Vmu, Vsigma(A))reg and determine necessary and sufficient conditions for a matrix B to satisfy qsigma(A) (Bx) C qmu(x) for all x is an element of m.
Czasopismo
Rocznik
Tom
Strony
531-538
Opis fizyczny
Bibliogr. 14 poz.
Twórcy
autor
autor
- Gaziantep Universitesi, Fen Edebiyat Fakultesi, Matematik Bolumu, 27310-Gaziantep, Turkey, kayaduman@gantep.edu.tr
Bibliografia
- [1] H. Çoşkun, C. Çakan, Infinite matrices and ?-core, Demonstratio Math. 4 (2001), 825-830.
- [2] G. Das, Sublinear functionals and a class of conservative matrices, Bull. Inst. Math. Acad. Sinica, 15 (1987), 89-106.
- [3] S. L. Devi, Banach limits and infinite matrices, J. London Math. Soc. 12 (1976), 397-401.
- [4] J. P. Duran, Infinite matrices and almost-convergence, Math. Z. 128 (1972), 75-83.
- [5] K. Kayaduman, H. Çoşkun, On a Generalization of V?-Space, Ph. D. Thesis, Inönü Univ. Grad. School of Natural and Applied Science (2004).
- [6] G. G. Lorentz, A contribution to the theory of divergent sequences, Acta Math. 80 (1948), 167-190.
- [7] I. J. Maddox, Elements of Functional Analysis, Cambridge Univ. Press, 1970.
- [8] S. L. Mishra, B. Satapathy, N. Rath, Invariant means and ?-core, J. Indian Math. Soc. 60 (1994), 151-158.
- [9] S. L. Mishra, B. Satapathy, Invariant means and infinite matrices, Communicated to Communication, Turkey.
- [10] Mursaleen, On some 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] E. Savaş, Strongly _-summable and strongly ?-convergent sequences, Bull. Call. Mat. Soc. 81 (1989), 173-178.
- [14] P. Schaefer, Infinite matrices and invariant means, Proc. Amer. Math. Soc. 36 (1972), 104-110.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA5-0015-0007