Almost Convergent Sequence Space Derived by Generalized Fibonacci Matrix and Fibonacci Core
Murat Candan, Kuddusi Kayaduman
Journal of Advances in Mathematics and Computer Science · pp. 150–167 · Published 10 Feb 2015
10.9734/BJMCS/2015/15923Abstract
Considerable interest in this article is to introduce the sequence space derived by generalized difference Fibonacci matrix in which r,s ∈ \ {0}, also to discuss and compare with some wellknown spaces defined previously. In addition to those, after demonstrating that the spaces and bc are linearly isomorphic, we have determined the β— and γ—duals of space and have characterized some matrix classes on this space. As a conclusion, we have also found out that the space has not a Schauder basis. Lastly, we have presented the Fibonacci core of a complex-valued sequence and deal with inclusion theorems with respect to Fibonacci core type.
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