Results 11 to 20 of about 5,299,272 (110)
A New Paranormed Sequence Space Defined by Regular Bell Matrix [PDF]
Dera Natung Government College Research Journal, 2023 This paper aims to construct a new paranormed sequence space by the aid of a regular matrix of Bell numbers. As well, its special duals such as α−,β−,γ− duals are presented and Schauder basis is determined.
Murat Karakaş, Muhammet Cihat Dağlı
doaj +2 more sources
On the Classical Paranormed Sequence Spaces and Related Duals over the Non‐Newtonian Complex Field [PDF]
Journal of Function Spaces, Volume 2015, Issue 1, 2015., 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. In some sense, it can be viewed as a catalyst, which is used to accelerate the process of chemical reaction.
Uğur Kadak +3 more
wiley +3 more sources
Paranormed Motzkin sequence spaces [PDF]
Dera Natung Government College Research JournalIn 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 these spaces.
Sezer Erdem +2 more
openaire +3 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 $b_0^{r,s}(p)$, $b_c^{r,s}(p)$, $b_{\infty}^{r,s}(p)$ and $b^{r,s}(p)$ are linearly isomorphic to spaces $c_0(p)$, $c(p)
Bilgin Ellidokuzoğlu, Hacer +2 more
core +7 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 well‐known sequence spaces such as c0, c, lp, l∞, and wp.
Nandita Rath
openaire +4 more sources
On the paranormed space L(t) of double sequences
Filomat, 2018 In this paper, we introduce the paranormed sequence space L(t) which is the generalization of the space Lq of all absolutely q-summable double sequences. We examine some topological properties of the space L(t) and determine its alpha-, beta- and gamma-duals.
Hüsamettin Çapan, Feyzi Başar
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On the paranormed space $\mathcal{M}_{u}(t)$ of double sequences
Boletim da Sociedade Paranaense de Matemática, 2017 In this paper, we introduce the paranormed sequence space $\mathcal{M}_{u}(t)$ corresponding to the normed space $\mathcal{M}_{u}$ of bounded double sequences. We examine general topological properties of this space and determine its alpha-, beta- and gamma-duals.
Feyzi Başar, Hüsamettin Çapan
openaire +5 more sources
Some Paranormed Sequence Spaces Which Involve Arithmetic Divisor Sum Function
Journal of Function SpacesLet Dr, r≥0, be a triangle and q=qj be a bounded sequence of strictly positive numbers. In this paper, we study the algebraic and topological properties of the paranormed sequence space ℓDr,q, generated by the triangle Dr over Maddox's space ℓq.
Ting Gan +4 more
doaj +2 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