Results 61 to 70 of about 117 (103)
On Some Properties of m .. -Statistical Convergence in a Paranormed Space
In this study, we introduce the concepts of strongly m ,p -Cesàro summability, m -statistical Cauchy sequence and m -statistical convergence in a paronormed space. We give some certain properties of these concepts and some inclusion relations between them.
BEKTAŞ, Çiğdem, ÖZÇELİK, Emine
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On Some New Approach of Paranormed Spaces
The object of this paper is to bring out the space rqB(g,p) of non-absolute patterns. Also, we will structure its completeness property. Also, the Köthe duals will be determined. Moreover, the Schauder basis for it will be constructed.
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Continuous operators on paranormed spaces and matrix transformations [PDF]
Maddox, Ivor J., Willey, Michael A. L.
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International Journal of General Systems, 2022
It is well-known that Paranormed spaces have more general properties than normed spaces. Until recently, the concept of paranorm has not been considered with the set of fuzzy numbers and there are no studies in literature from this point of view. So, our main aim in this work is to apply this notion to the set of fuzzy numbers and give the new concepts
Muhammed Çinar +2 more
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It is well-known that Paranormed spaces have more general properties than normed spaces. Until recently, the concept of paranorm has not been considered with the set of fuzzy numbers and there are no studies in literature from this point of view. So, our main aim in this work is to apply this notion to the set of fuzzy numbers and give the new concepts
Muhammed Çinar +2 more
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Functional Inequalities in Paranormed Spaces
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 +2 more
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Some New Paranormed Sequence Spaces
Information Sciences, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feyzi Basar
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On the Statistical Convergence of Order α in Paranormed Space [PDF]
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
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Paranormed Motzkin Sequence Spaces
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 these spaces.
Sezer Erdem +2 more
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On the Paranormed Spaces of Regularly Convergent Double Sequences
Results in Mathematics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feyzi Basar, Hüsamettin Çapan
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