Results 51 to 60 of about 117 (103)

Matrix Transformations and Scale Separation in Non-Archimedean λ-Almost Convergent Sequence Spaces

Axioms
Let F be a complete, non-trivially valued, non-Archimedean field of characteristic zero. This paper studies the space V^λ of λ-almost convergent sequences over F and its paranormed generalization V^λ(p), establishing it as a complete non-Archimedean ...
Richard F. Patterson, Ekrem Savaş, Sami M. Hamid   +2 more
doaj   +1 more source

Paranorm Ideal Convergent Fibonacci Difference Sequence Spaces

Communications in Advanced Mathematical Sciences, 2019
In this paper  we  introduce some new sequence spaces $ c_{0}^{I}(\hat{F},p)$, $c^{I}(\hat{F},p)$ and $\ell_{\infty}^{I}(\hat{F},p)$ for  $p=(p_n),$ a sequence of positive real numbers.
Vakeel Ahmad Khan, Sameera Aa Abdullah, Kamal Mas Alshlool   +2 more
doaj  

$\mathcal{I}$-Convergence Sequence Paranormed Spaces of Order (α, β)

Axioms
In this paper, we introduce and rigorously define a novel class of difference sequence spaces, denoted by wI(M,∆vu,r)αβ, w0I(M,∆vu,r)αβ, w∞I(M,∆vu,r)αβ, and w∞(M,∆vu,r)αβ.
Lian-Ta Su, Ravi Kumar, Sunil K. Sharma, Ajay K. Sharma, Qing-Bo Cai   +4 more
doaj   +1 more source

\(\lambda\)-statistical convergence in paranormed space

, 2013
Summary: The concept of \(\lambda\)-statistical convergence for sequences of real numbers was introduced by \textit{Mursaleen} [Math. Slovaca 50, No. 1, 111--115 (2000; Zbl 0953.40002)]. In this paper, we prove a decomposition theorem for \(\lambda\)-statistical convergence.
Alghamdi, Mohammed A., Mursaleen, Mohammad   +1 more
openaire   +2 more sources

On some new paranormed sequence spaces

, 2010
Summary: The sequence spaces \(c^\lambda_0\), \(c^\lambda\) and \(\ell^\lambda_\infty\) have been recently introduced and studied by \textit{M. Mursaleen} and \textit{A. K. Noman} [Thai J. Math. 8, No.~2, 311--329 (2010; Zbl 1218.46005)]. The main purpose of the present paper is to extend the results of Mursaleen and Noman to the paranormed case and to
Demiriz, Serkan, Çakan, Celal
openaire   +2 more sources

Matrix transformations on mixed paranorm spaces

Filomat, 2017
Recently the concept of mixed norm spaces was generalized to that of the mixed paranorm spaces [l(r),lp]<k(v)>. Here we determine the classes of matrix transformations from [l(r),lp]<k(v)> into the spaces of bounded, convergent and null sequences, and into the spaces of all bounded, convergent and absolutely convergent series ...
Malkowsky, Eberhard, Özger, Faruk, Veličković, Vesna   +2 more
openaire   +2 more sources

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

Topological properties of some sequences defined over 2-normed spaces. [PDF]

Springerplus, 2016
Dutta H, Kilicman A, Altun O.
europepmc   +1 more source

Seminormed double sequence spaces of four-dimensional matrix and Musielak-Orlicz function. [PDF]

J Inequal Appl, 2018
Anand R, Sharma C, Raj K.
europepmc   +1 more source

Algebraically paranormal operators on Banach spaces

Banach Journal of Mathematical Analysis, 2013
Let \(X\) be a Banach space. In this paper, the author studies properties of algebraically paranormal operators on Banach spaces. In particular, he provides a more extended result for polaroid operators. Recall that an operator \(T\) on a Banach space \(X\) is polaroid if and only if \(p(T)\) is polaroid for some polynomial \(p\).
openaire   +2 more sources