Some topological and geometrical properties of new Banach sequence spaces
EE Kara - Journal of Inequalities and Applications, 2013 - Springer
In the present paper, we introduce a new band matrix F ˆ and define the sequence space ℓ p
(F ˆ)={x=(xk)∈ ω:∑ k| fkfk+ 1 xk− fk+ 1 fkxk− 1| p<∞; 1≤ p≤∞}, where fk is the k th …
(F ˆ)={x=(xk)∈ ω:∑ k| fkfk+ 1 xk− fk+ 1 fkxk− 1| p<∞; 1≤ p≤∞}, where fk is the k th …
A study of topological and geometrical characteristics of new Banach sequence spaces
A short extract of this study is to submit a new sequence space ℓ p (F (r, s)) under the domain
of the matrix F (r, s) constituted by using Fibonacci sequence and non-zero real number r …
of the matrix F (r, s) constituted by using Fibonacci sequence and non-zero real number r …
[PDF][PDF] A new approach on the spaces of generalized Fibonacci difference null and convergent sequences
M Candan - Math. Aeterna, 2015 - scholar.archive.org
In this current study, the most apparent aspect is to submit new sequence spaces c0 (̂F (r,
s)) and c (̂F (r, s)) under the domain of the matrix ̂F (r, s) constituted by using Fibonacci …
s)) and c (̂F (r, s)) under the domain of the matrix ̂F (r, s) constituted by using Fibonacci …
[PDF][PDF] On the spaces of Fibonacci difference absolutely p-summable, null and convergent sequences
METIN BASARIR, FEYZI BASAR AND EMRAH EVREN KARA Abstract. Let 0< p< 1. In the
present paper, as the domain of the band matrix ̂F defined by the Fibonacci sequence in …
present paper, as the domain of the band matrix ̂F defined by the Fibonacci sequence in …
Euler-Cesàro difference spaces of bounded, convergent and null sequences
In this paper, we introduce the spaces $\breve {\ell} _ {\infty} $, $\breve {c} $ and $\breve {c}
_ {0} $ of Euler-Cesaro bounded, convergent and null difference sequences and prove that …
_ {0} $ of Euler-Cesaro bounded, convergent and null difference sequences and prove that …
Generalization of the space derived by absolute Euler summability and matrix operators
F Gökçe, MA Sarıgöl - Journal of Inequalities and Applications, 2018 - Springer
The sequence space l (p) l(p) having an important role in summability theory was defined
and studied by Maddox (QJ Math. 18: 345–355, 1967). In the present paper, we generalize …
and studied by Maddox (QJ Math. 18: 345–355, 1967). In the present paper, we generalize …
Compactness of matrix operators on some sequence spaces derived by Fibonacci numbers
arXiv:1309.0152v1 [math.FA] 31 Aug 2013 Page 1 arXiv:1309.0152v1 [math.FA] 31 Aug 2013
COMPACTNESS OF MATRIX OPERATORS ON SOME SEQUENCE SPACES DERIVED BY …
COMPACTNESS OF MATRIX OPERATORS ON SOME SEQUENCE SPACES DERIVED BY …
Generalization of the absolute Cesaro space and some matrix transformations
F Gökçe, MA Sarıgöl - Numerical Functional Analysis and …, 2019 - Taylor & Francis
The space ℓ k was extended to the space ℓ (p) by Maddox, where p=(pn) is a bounded
sequence of positive numbers. The series space| C λ, μ| k has more recently been studied …
sequence of positive numbers. The series space| C λ, μ| k has more recently been studied …
A different look for paranormed Riesz sequence space derived by Fibonacci Matrix
This paper presents the generalized Riesz sequence space rq (b Fp u) which is formed all
sequences whose Rqu b F-transforms are in the space(p), where b F is a Fibonacci matrix …
sequences whose Rqu b F-transforms are in the space(p), where b F is a Fibonacci matrix …