A Novel Layout for Almost Convergent Sequence Spaces

Murat Candan, Gulsen Kilinc

Abstract


The target of the existing study is to acquaint the sequence spaces
bc (G; F) ; bc0 (G; F) and b cs (G; F) , where G is generalized weighted means and
F is the Fibonacci matrix. We describe -and -duals of the spaces bc (G; F)
and b cs (G; F). Further, we characterize the infinite matrices (bc (G; F) : ) and
( : bc (G; F)); where is an arbitrary sequence space.


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References


B. Choudhary and S. Nanda;Functional Analysis with applications,John Wiley and Sons, New

Delhi, ˙India, 1989.

G. G. Lorentz; A contribution to the theory of divergent sequences, Acta Mathematica, 80

(1948), 167-190.

H. Kızmaz;On certain sequence spaces, Canad. Math. Bull.24:2 (1981), 169-176..

M. Kiri¸s¸ci; Almost convergence and generalized weighted mean. AIP Conf. Proc. 1470 (2012),

-194.

F.Ba¸sar and M. Kiri¸s¸ci;Almost convergence and generalized difference matrix, Comput. Math.

Appl.61(2011),602-611.

K.Kayaduman and M.Seng¸on¸ul; The space of Cesaro almost convergent sequence and core

theorems, Acta Mathematica Scientia . 6 (2012), 2265-2278.

M. Candan; Almost convergence and double sequential band matrix, Acta Math. Scientia,

:2, (2014),354-366.

M. Kiri¸s¸ci; Almost convergence and generalized weighted mean II. J. Ineq. and Appl. 1:93,

(2014), 13 pages.

A NOVEL LAYOUT FOR ALMOST CONVERGENT SEQUENCE SPACES 13

H. Polat, V. Karakaya and N. ¸sim¸sek; Difference sequence space derived by using a generalized

weighted mean. Applied Mathematics Letters. 24 (2011), 608-614.

A. Karaisa and F.Ba¸sar ; Some new paranormed sequence spaces and core theorems. AIP

Conf. Proc. 1611, (2014), 380-391.

A. Karaisa and F. ¨ Ozger; Almost difference sequence spaces derived by using a generalized

weighted mean, J. Comput. Anal. and Appl. 19:1 (2015), 27-38.

K. Kayaduman and M. cSeng¨on¨ul; The space of Cesaro almost convergent sequence and core

theorems, Acta Mathematica Scientia . 6, (2012), 2265-2278.

A. M. Jarrah and E. Malkowsky; BK- spaces, bases and linear operators, Ren. Circ. Mat.

Palermo 2:52, (1990), 177-191.

J. A. Sıddıqi; Infinite matrices summing every almost periodic sequences, Pacific J. Math.

:1, (1971), 235-251.

F. Ba¸sar; Summability Theory and Its Applications, Bentham Science Publishers. e-books,

Monographs, xi+405 pp., ˙Istanbul, (2012), ISB:978-1-60805-252-3.

J. P. Duran; Infinite matrices and almost convergence. Math. Z. 128, (1972), 75-83.

E. ¨ Ozt¨urk; On strongly regulardual summability methods, Commun. Fac. Sci. Univ. Ank.

Ser. A Math. Stat. 32 (1983), 1-5.

J. P. King; Almost summable sequences. Proc. Amer. Math. Soc. 17, (1966), 1219-1225.

F. Ba¸sar and . Solak; Almost-coercive matrix transformations, Rend. Mat. Appl. 7, 11:2

(1991), 249-256.

F. Ba¸sar; f-conservative matrix sequences, Tamkang J. Math. 22:2 (1991), 205-212.

F. Ba¸sar and R.C¸ olak; Almost conservative matrix transformations, Turkish J. Math. 13:3,

(1989), 91-100.

F. Ba¸sar; Strongly-conservative sequence to series matrix transformations, Erc. ni. Fen Bil.

Derg. 5:12, (1989), 888-893.

M. Candan and K. Kayaduman; Almost Convergent Sequence Space Derived By Generalized

Fibonacci Matrix and Fibonacci Core,British J. Math. Comput. Sci, 7(2),150-167., Doi:

9734/BJMCS/2015/15923(Yayn No: 2002714)

M. Ba¸sarr, F. Ba¸sar and E. E. Kara; On The Spaces Of Fibonacci Difference Null And

Convergent Sequences, arXiv:1309.0150v1 [math.FA] 31 Aug 2013


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