Results 1 to 10 of about 239 (199)

A Note on the Sequence Space b_p^(r,s) (G)

Cumhuriyet Science Journal, 2017
In this study, we define the sequence space  derived by the composition of the Binomialmatrix and generalized difference(double band) matrix and show that the space  is linearly isomorphic to the space , where .
Mustafa Cemil Bişgin
doaj   +1 more source

On Some New Sequence Spaces and Their Duals

Journal of Mathematics
In this study, we defined some new sequence spaces using regular Tribonacci matrix. We examined some properties of these spaces such as completeness, Schauder basis. We have identified α−,β−, and γ−duals of the newly created spaces.
Damla Barlak
doaj   +1 more source

On the Classical Paranormed Sequence Spaces and Related Duals over the Non-Newtonian Complex Field

Journal of Function Spaces, 2015
The studies on sequence spaces were extended by using the notion of associated multiplier sequences. A multiplier sequence can be used to accelerate the convergence of the sequences in some spaces.
Uğur Kadak, Murat Kirişci, Ahmet Faruk Çakmak   +2 more
doaj   +1 more source

On the Domain of the Four-Dimensional Sequential Band Matrix in Some Double Sequence Spaces

Mathematics, 2020
Let E represent any of the spaces M u , C ϑ ( ϑ = { b , b p , r } ) , and L q ( 0
Orhan Tuğ, Vladimir Rakočević, Eberhard Malkowsky   +2 more
doaj   +1 more source

Some Topological and Geometric Properties of Some New Spaces of λ-Convergent and Bounded Series

Journal of Function Spaces, 2015
The main purpose of this study is to introduce the spaces csλ, cs0λ, and bsλ which are BK-spaces of nonabsolute type. We prove that these spaces are linearly isomorphic to the spaces cs, cs0, and bs, respectively, and derive some inclusion relations ...
Meltem Kaya, Hasan Furkan
doaj   +1 more source

On Some New Generalized Difference Sequence Spaces of Nonabsolute Type

Journal of Mathematics, 2014
We define a new triangle matrix W^=(wnkλ) by the composition of the matrices Λ=(λnk) and B(r,s,t). Also, we introduce the sequence spaces c0λ(B^),cλ(B^),l∞λ(B^), and lpλ(B^) by using matrix domain of the matrix W^ on the classical sequence spaces c0,c,l∞,
Osman Duyar, Serkan Demiriz, Osman Özdemir   +2 more
doaj   +1 more source

Copper Lacus Sequence Spaces Associated With Operator Ideals and Their Geometric Properties

Journal of Mathematics
In this research, we introduce the regular Copper Lucas matrix operator, which is based on the Copper Lucas sequence. We investigate the sequence spaces c0Γ and cΓ, as well as lpΓ for 1≤p≤∞, all of which are linked to the newly defined regular Copper ...
Shiva Shah, Bipan Hazarika, Awd Bkri, Runda A. A. Bashir   +3 more
doaj   +1 more source

On the Zweier Sequence Spaces of Fuzzy Numbers

International Journal of Mathematics and Mathematical Sciences, 2014
It was given a prototype constructing a new sequence space of fuzzy numbers by means of the matrix domain of a particular limitation method. That is we have constructed the Zweier sequence spaces of fuzzy numbers [ℓ∞(F)]Zη, [c(F)]Zη, and [c0(F)]Zη ...
Mehmet Şengönül
doaj   +1 more source

Investigation of p-Summable Fibonacci-Type Difference Sequence Spaces and Their Duals via Modulus Functions

Journal of Mathematics
In this paper, we introduce new Fibonacci-type difference sequence spaces defined by a modulus function f, specifically focusing on the sequence space lGu,v,f,p, where p=pk is an arbitrary bounded sequence of positive real numbers.
Sunil K. Sharma, Ravi Kumar, Faruk Özger, Merve Ersoy   +3 more
doaj   +1 more source

Four-dimensional generalized difference matrix and some double sequence spaces

Journal of Inequalities and Applications, 2017
In this study, I introduce some new double sequence spaces B ( M u ) $B(\mathcal {M}_{u})$ , B ( C p ) $B(\mathcal{C}_{p})$ , B ( C b p ) $B(\mathcal{C}_{bp})$ , B ( C r ) $B(\mathcal {C}_{r})$ and B ( L q ) $B(\mathcal{L}_{q})$ as the domain of four ...
Orhan Tuǧ
doaj   +1 more source