Results 1 to 10 of about 116 (96)

Modeling Spheres in Some Paranormed Sequence Spaces

Mathematics, 2022
We introduce a new sequence space hA(p), which is not normable, in general, and show that it is a paranormed space. Here, A and p denote an infinite matrix and a sequence of positive numbers.
Vesna I. Veličković, Eberhard Malkowsky, Edin Dolićanin   +2 more
doaj   +4 more sources

On the paranormed binomial sequence spaces

Universal Journal of Mathematics and Applications, 2018
In this paper the sequence spaces $b_0^{r,s}(p)$, $b_c^{r,s}(p)$, $b_{\infty}^{r,s}(p)$ and $b^{r,s}(p)$ which are the generalization of the classical Maddox's paranormed sequence spaces have been introduced and proved that the spaces $b_0^{r,s}(p ...
Ali Köseoğlu, Serkan Demiriz, Hacer Bilgin Ellidokuzoğlu   +2 more
doaj   +5 more sources

Spaces of ideal convergent sequences. [PDF]

ScientificWorldJournal, 2014
In the present paper, we introduce some sequence spaces using ideal convergence and Musielak‐Orlicz function ℳ = (Mk). We also examine some topological properties of the resulting sequence spaces.
Mursaleen M, Sharma SK.
europepmc   +2 more sources

On generalized difference Hahn sequence spaces. [PDF]

ScientificWorldJournal, 2014
We construct some generalized difference Hahn sequence spaces by mean of sequence of modulus functions. The topological properties and some inclusion relations of spaces hp(ℱ, u, Δr) are investigated. Also we compute the dual of these spaces, and some matrix transformations are characterized.
Raj K, Kiliçman A.
europepmc   +2 more sources

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   +2 more sources

Topological duals of some paranormed sequence spaces [PDF]

International Journal of Mathematics and Mathematical Sciences, 2003
Let P=(pk) be a bounded positive sequence and let A=(ank) be an infinite matrix with all ank≥0. For normed spaces E and Ek, the matrix A generates the paranormed sequence spaces [A,P]∞((Ek)), [A,P]0((Ek)), and [A,P]((E)), which generalise almost all the ...
Nandita Rath
doaj   +3 more sources

On Generalized Paranormed Statistically Convergent Sequence Spaces Defined by Orlicz Function [PDF]

Journal of Inequalities and Applications, 2009
We define generalized paranormed sequence spaces c¯(σ,M,p,q,s), c¯0(σ,M,p,q,s), m(σ,M,p,q,s), and m0(σ,M,p,q,s) defined over a seminormed sequence space (X,q).
Metin Başarir, Selma Altundağ   +1 more
doaj   +4 more sources

Paranormed Motzkin sequence spaces

Dera Natung Government College Research Journal
In this article, it is obtained two new paranormed sequence spaces $c_0(\mathcal{M}, \mathfrak{p})$ and $c(\mathcal{M},\mathfrak{p})$ by the aid of the conservative Motzkin matrix operator $\mathcal{M}$ and is examined some topological properties of ...
Sezer Erdem, Serkan Demiriz, Hacer Bilgin Ellidokuzoğlu   +2 more
doaj   +2 more sources

Some Paranormed Double Difference Sequence Spaces for Orlicz Functions and Bounded-Regular Matrices

Abstract and Applied Analysis, 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).
S. A. Mohiuddine, Kuldip Raj, Abdullah Alotaibi   +2 more
doaj   +2 more sources

Some Matrix Transformations of Convex and Paranormed Sequence Spaces into the Spaces of Invariant Means

Journal of Function Spaces and Applications, 2012
We determine the necessary and sufficient conditions to characterize the matrices which transform convex sequences and Maddox sequences into 𝑉𝜎(𝜃) and 𝑉∞𝜎(𝜃).
M. Mursaleen, S. A. Mohiuddine
doaj   +3 more sources