In the present paper, we studied the new properties of BK-spaces which were defined using regular matrix of Fibonacci numbers in [1]. We computed alpha-, beta-, gamma- duals of these spaces and obtained Schauder basis. We also derived some topological properties of these spaces.

1.
S.
 
Debnath
,
S.
 
Saha
,
Some newly defined sequence spaces using regular matrix of Fibonacci numbers
(
AKU J. of Sci. Eng., Afyon
,
2014
), pp.
1
–
3
.
Google Scholar
 
2.
D.
 
Kalman
,
R.
 
Mena
,
The Fibanocci numbers-Exposed,
(
Mathematics Magazine
,
2003
),
76
(
3
).
https://doi.org/10.2307/3219318
Google Scholar
 
3.
E.
 
Malkowsky
 and
E.
 
Savaş
,
Matrix transformations between sequence spaces of generalized weighted means
(
Appl. Math. Comput.
,
2004
),
147
(
2
), pp.
333
–
345
.
Google Scholar
 
4.
M.
 
Stieglitz
 and
H.
 
Tietz
,
Matrix transformationen von folgenraumen eine ergebnisübersicht
(
Math. Z.
,
1977
),
154
, pp.
1
–
16
.
https://doi.org/10.1007/BF01215107
Google Scholar
Crossref
Search ADS
 
5.
M.
 
Mursaleen
,
A. K.
 
Noman
,
On some new difference sequence spaces of non-absolute type
(
Mathematical and Computer Modelling
,
2010
),
52
, pp.
603
–
617
.
https://doi.org/10.1016/j.mcm.2010.04.006
Google Scholar
Crossref
Search ADS
 
6.
A.
 
Wilansky
, Summability through Functional Analysis, Nort-Holland Mathematics Studies 85,
Elsevier Science Publishers
,
Amsterdam; New York; Oxford
,
1984
.
7.
Candan
,
M.
,
A new approach on the spaces of generalized fibonacci difference null and convergent sequences
,
Mathematica Aeterna
,
5
:
1
(
2015
),
191
–
210
.
Google Scholar
 
This content is only available via PDF.
© 2016 Author(s).
2016
Author(s)
You do not currently have access to this content.