Refaad for Studies, Research and Developement
Sequence Spaces Deﬁned by Fibonacci Matrix
2519-9269 (Print)
2519-9277 (Online)
Volume 6
Issue 2
2019
June
0
Sequence Spaces Deﬁned by Fibonacci Matrix
45
60
English
M. K¨UC¸ ¨UKASLAN Mersin University Faculty of Science, Department of Mathematics 33343 Mersin, TURKEYmkucukaslan@mersin.edu.tr
B. ARIS Istanbul University Faculty of Science, Department of Mathematics 34452 Istanbul, TURKEYbusra.unal@istanbul.edu.tr
https://doi.org/10.31559/glm2019.6.2.1
In this paper, by using well known Fibonacci numbers, so far not described in the literature a new regular matrix F = (fnk) is deﬁned and compared with well known matrix transformations. By using this new matrix, Fibonacci sequence space c0(F), c(F), l∞(F) and lp(F) (1 ≤ p ≤ ∞) are introduced. In addition to examining the properties of the new sequence spaces some results which contains comparison of lp(F) (1 ≤ p ≤ ∞) with other summability methods are given. Finally, α,β and γ duals of c0(F), c(F), l∞(F) are characterized.
Fibonacci numbers; Matrix transformation; Regular matrix; Sequence space; Summability method
http://www.refaad.com/views/GLM/621.html
http://www.refaad.com/Files/GLM/6-2-1.pdf