ON INFINITE MATRIX AND σ− CONVERGENCE
DOI:
https://doi.org/10.5281/7wwkfv41Abstract
The goal of this paper is to present and study a new σ− sequence
space which is defined using the ϕ- function and infinite matrix A. Further we
also prove some inclusion theorems.
References
[1] G. Das and S. K. Mishra , Banach limits and lacunary strong almost convergence, J. Orissa
Math. Soc. 2(2), (1983), 61-70.
[2] A. R. Freedman, J. J. Sember, M.Raphel, Some Cesaro-type summability spaces, Proc.
London Math. Soc. 37(1978), 508-520.
[3] I. J. Maddox , Spaces of strongly summable sequences, Quart. J. Math. Oxford Ser. (2) 18,
345-55.
[4] I. J. Maddox, Sequence spaces defined by a modulus, Math. Proc. Camb. Philos. Soc., 100
(1986), 161-166.
[5] Mursaleen, On some new invariant matrix methods of summability, Q.J. Math. 34(1983),
77-86.
[6] W. H. Ruckle, FK Spaces in which the sequence of coordinate vectors in bounded, Canad.
J. Math. 25 (1973), 973-978.
[7] E. Sava¸s, On some generalized sequence spaces defined by a modulus, Indian J. Pur. Appl.
Math. 30(5)(1999), 459-464.
[8] E. Sava¸s, On lacunary strong σ-convergence, Indian J. Pure appl. Math. 21(4),(1990) 359-365.
[9] P. Schaefer, Infinite matrices and invariant means, Proc. Amer. Math. Soc., 36(1972) 104-110.
[10] A. Waszak, On the strong convergence in sequence spaces, Fasciculi Math. 33, (2002), 125-
137.
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