On Spaces of Ideal Convergent Fibonacci Difference Sequence Defined By Orlicz Function
Vakeel A. KHAN 1
, Kamal M. A. S. ALSHLOOL 1
, Abdullah A. H. MAKHARESH 1
, Sameera A. A. ABDULLAH 1
, Kamal M. A. S. ALSHLOOL 1
, Abdullah A. H. MAKHARESH 1
, Sameera A. A. ABDULLAH 1
1Department of Mathematics, Aligarh Muslim University, Aligarh, INDIA
Sigma J Eng Nat Sci 2019; 37(1): 143-154
Abstract
In this paper, we introduce some new Fibonacci difference sequence spaces 0 ( , ˆ ) I c M F , ( , ˆ ) I c M F , ( , ˆ ) I M F and (M,Fˆ ) by using the idea of Orlicz function and the Fibonacci difference matrix ˆF defined by Fibonacci sequence. We study some topological and algebraic properties on these spaces. Furthermore, we study some inclusion relations concerning these spaces.
Keywords: Fibonacci difference matrix, Fibonacci I convergence, Fibonacci I Cauchy, Fibonacci I bounded, Orlicz function.
