Results 1 to 10 of about 97 (83)

Generalization of the space l(p) $l(p)$ derived by absolute Euler summability and matrix operators [PDF]

Journal of Inequalities and Applications, 2018
The sequence space l(p) $l(p)$ having an important role in summability theory was defined and studied by Maddox (Q. J. Math. 18:345–355, 1967). In the present paper, we generalize the space l(p) $l(p)$ to the space |Eϕr|(p) $\vert E_{\phi }^{r} \vert (p)$
Fadime Gökçe, Mehmet Ali Sarıgöl
doaj   +2 more sources

On the Paranormed Nörlund Sequence Space of Nonabsolute Type [PDF]

Abstract and Applied Analysis, 2014
Maddox defined the space ℓ(p) of the sequences x=(xk) such that ∑k=0∞‍|xk ...
Medine Yeşilkayagil, Feyzi Başar
doaj   +5 more sources

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   +3 more sources

Statistical convergence in a paranormed space [PDF]

Journal of Inequalities and Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdullah Alotaibi
exaly   +3 more sources

On the Statistical Convergence of Order α in Paranormed Space [PDF]

Symmetry, 2018
The aim of the present work is to introduce notions of statistical convergence, strongly p-Cesàro summability and the statistically Cauchy sequence of order α in paranormed spaces. Some certain topological properties of these new concepts are examined. Furthermore, we introduce the some inclusion relations among them.
Sinan Ercan
exaly   +3 more sources

FUNCTIONAL INEQUALITIES IN PARANORMED SPACES

Journal of the Chungcheng Mathematical Society, 2013
Abstract. In this paper, we investigate additive functional in-equalities in paranormed spaces. Furthermore, we prove the Hyers-Ulam stability of additive functional inequalities in paranormedspaces. 1. Introduction and preliminariesThe concept of statistical convergence for sequences of real numberswas introduced by Fast [3] and Steinhaus [26 ...
Choonkil Park, Jung Rye Lee, Sung Jin Lee   +2 more
exaly   +3 more sources

On Some Geometric Properties of a New Paranormed Sequence Space

Journal of Function Spaces, 2014
We introduce a new sequence space which is defined by the operator W=(wnk) on the sequence space ℓ(p). We define a modular functional on this space and investigate structure of this space equipped with Luxemburg norm.
Vatan Karakaya, Fatma Altun
doaj   +5 more sources

µ-Integrable Functions and Weak Convergence of Probability Measures in Complete Paranormed Spaces

Mathematics
This paper works with functions defined in metric spaces and takes values in complete paranormed vector spaces or in Banach spaces, and proves some necessary and sufficient conditions for weak convergence of probability measures.
Renying Zeng
doaj   +3 more sources

A New Paranormed Sequence Space Defined by Regular Bell Matrix

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   +1 more source

On Generalized Paranormed Statistically Convergent Sequence Spaces Defined by Orlicz Function

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   +2 more sources