Results 21 to 30 of about 3,836,353 (120)
A NEW PARANORMED SERIES SPACE USING EULER TOTIENT MEANS AND SOME MATRIX TRANSFORMATIONS [PDF]
Paranormed spaces are important as a generalization of the normed spaces in terms of having more general properties. The aim of this study is to introduce a new paranormed space vertical bar phi(z)vertical bar (p) over the paranormed space l(p) using ...
Güleç, Güllü Canan Hazar +3 more
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On 2 - normed space valued paranormed null sequence space
In this paper we introduce and study a new class c0 ( S, α‾ , u‾ , ||. , .|| ) of sequences with values in 2- normed space as a generalization of basic null sequence space c0. We investigate some conditions pertaining to the containment relations of the
Narayan Prasad Pahari
doaj +3 more sources
Paranormal spaces under ♢* [PDF]
We prove that paranormal spaces of character ≤
Kerry Smith, Paul Szeptycki
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On Paranorm Zweier -Convergent Sequence Spaces [PDF]
In this paper, we introduce the paranorm Zweier -convergent sequence spaces , , and , a sequence of positive real numbers. We study some topological properties, prove the decomposition theorem, and study some inclusion relations on these spaces.
Vakeel A. Khan +4 more
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We generalize the concept of mixed norm spaces and define a class of mixed paranorm spaces, study their fundamental topological properties and determine their first and second duals. Furthermore we obtain the corresponding known results for mixed norm spaces and spaces of sequences that are strongly summable to zero as special cases of our ...
Malkowsky, Eberhard +2 more
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Functional equations in paranormed spaces [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Park, Choonkil, Shin, Dong
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On generalized difference lacunary statistical convergence in a paranormed space [PDF]
In this article, we introduce the concept of -lacunary statistical convergence and -lacunary strong convergence in a paranormed space.
Selma Altundağ, Altundağ, Selma
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Paranorm I-convergent sequence spaces
Abstract In this article we introduced the sequence spaces c I(p), c 0I(p), m I(p) and m 0I(p) for p = (p k), a sequence of positive real numbers. We study some algebraic and topological properties of these spaces.
Tripathy, Binod Chandra, Hazarika, Bipan
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On the paranormed binomial sequence spaces
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
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A New Paranormed Series Space and Matrix Transformations
The series space |C-1|p has been studied for 1 p ∞ by Hazar and Sarigöl in [9]. The main purpose of this work is to define a new paranormed space |C-1| (p), where p = (pk) is a bounded sequence of positive real numbers, which generalizes the results of
G. Canan HAZAR GÜLEÇ +1 more
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