Results 41 to 50 of about 2,617,315 (120)

A survey on some paranormed sequence spaces

Filomat, 2017
This paper presents a survey of most of the known fundamental results involving the sequence spaces l(p), c0(p), c(p) and l?(p), w0(p), w(p) and w?(p), f0(p) and f (p). These spaces are generalizations of the classical BK spaces lp, c0, c and l?, the spaces wp 0, wp and wp?
Malkowsky, Eberhard, Başar, Feyzi
openaire   +2 more sources

Some Double Sequence Spaces of Fuzzy Real Numbers of Paranormed Type

Journal of Mathematics, 2013
We study different properties of convergent, null, and bounded double sequence spaces of fuzzy real numbers like completeness, solidness, sequence algebra, symmetricity, convergence-free, and so forth. We prove some inclusion results too.
Bipul Sarma
doaj   +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, Gökhan Işık, Smritijit Sen   +2 more
wiley   +1 more source

Paranormed Riesz Difference Sequence Spaces of Fractional Order

Kragujevac Journal of Mathematics, 2022
Summary: In this article we introduce paranormed Riesz difference sequence spaces of fractional order \(\alpha\), \(r_0^t\left(p, \Delta^{(\alpha)}\right)\), \(r_c^t\left(p, \Delta^{(\alpha)}\right)\) and \(r_{\infty}^t\left(p, \Delta^{(\alpha)}\right)\) defined by the composition of fractional difference operator \(\Delta^{(\alpha)}\), defined by ...
openaire   +2 more sources

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

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, Ravi Kumar, Faruk Özger, Merve Ersoy, Smritijit Sen   +4 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

Relative Uniform Convergence of Sequence of Functions Related to ℓp‐Spaces Defined by Orlicz Functions

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, Mustafa M. Mohammed, Binod Chandra Tripathy, Awad A. Bakery, Mitsuru Sugimoto   +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, Kuldip Raj, Abdullah Alotaibi, Cristina Pignotti   +3 more
wiley   +1 more source

A NEW PARANORMED SERIES SPACE USING EULER TOTIENT MEANS AND SOME MATRIX TRANSFORMATIONS [PDF]

, 2020
Paranormed spaces are important as a generalization of the normed spaces in terms of having more general properties. The aim of this study is to introduce a new paranormed space vertical bar phi(z)vertical bar (p) over the paranormed space l(p) using ...
Güleç, Güllü Canan Hazar, Ilkhan, M, Gulec, G. Canan Hazar, Ilkhan, Merve   +3 more
core   +1 more source