Results 31 to 40 of about 117 (103)
Some Topological and Geometric Properties of Some New Spaces of λ‐Convergent and Bounded Series
Journal of Function Spaces, Volume 2015, Issue 1, 2015., 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 +2 more
wiley +1 more source
On Some Properties of New Paranormed Sequence Space of Nonabsolute Type
Abstract and Applied Analysis, 2012 We introduce some new generalized sequence space related to the space ℓ(𝑝). Furthermore we investigate some topological properties as the completeness, the isomorphism, and also we give some inclusion relations between this sequence space and some of the
Vatan Karakaya, Necip Şimşek
doaj +1 more source
Double Sequence Spaces by Means of Orlicz Functions
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 We define some classes of double entire and analytic sequences by means of Orlicz functions. We study some relevant algebraic and topological properties. Further some inclusion relations among the classes are also examined.
Abdullah Alotaibi +3 more
wiley +1 more source
Exploring the Z‐Spaces of Double Sequences of Scalars: Z2‐Spaces
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we introduced and investigated the spaces Z2u,w;X of double sequences as natural extensions of the classical sequence spaces Zu,w;X. We characterized the β‐duals of these spaces and obtained explicit representations in terms of multiplier spaces and difference‐type conditions involving the operators Δkm+.
Cenap Duyar +2 more
wiley +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.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. These spaces consist of all sequences whose transforms under the generalized Fibonacci band matrix G(u, v) belong to ...
Sunil K. Sharma +4 more
wiley +1 more source
Some Paranormed Double Difference Sequence Spaces for Orlicz Functions and Bounded‐Regular Matrices
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 The aim of this paper is to introduce some new double difference sequence spaces with the help of the Musielak‐Orlicz function ℱ = (Fjk) and four‐dimensional bounded‐regular (shortly, RH‐regular) matrices A = (anmjk). We also make an effort to study some topological properties and inclusion relations between these double difference sequence spaces.
S. A. Mohiuddine +3 more
wiley +1 more source
On Some New Sequence Spaces and Their Duals
Journal of Mathematics, Volume 2024, Issue 1, 2024.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, Ömer Kişi
wiley +1 more source
Operator Ideal of Cesaro Type Sequence Spaces Involving Lacunary Sequence
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 The aim of this paper is to give the sufficient conditions on the sequence space Ces(θ, p) defined in Lim (1977) such that the class of all bounded linear operators between any arbitrary Banach spaces with nth approximation numbers of the bounded linear operators in Ces(θ, p) form an operator ideal.
Awad A. Bakery, Wenchang Sun
wiley +1 more source
Journal of Function Spaces, Volume 2024, Issue 1, 2024.The Orlicz function‐defined sequence spaces of functions by relative uniform convergence of sequences related to p‐absolutely summable spaces are a new concept that is introduced in this article. We look at its various attributes, such as solidity, completeness, and symmetry. We also look at a few insertional connections involving these spaces.
Diksha Debbarma +4 more
wiley +1 more source
On Some Classes of Double Difference Sequences of Interval Numbers
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 The aim of this paper is to introduce some interval valued double difference sequence spaces by means of Musielak‐Orlicz function M=(Mij). We also determine some topological properties and inclusion relations between these double difference sequence spaces.
S. A. Mohiuddine +3 more
wiley +1 more source