Results 1 to 10 of about 92 (74)
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 +2 more
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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
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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
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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 +1 more
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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
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On 2 - normed space valued paranormed null sequence space
Bibechana, 2013 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
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On Some Properties of New Paranormed Sequence Space of Nonabsolute Type [PDF]
Abstract and Applied Analysis, 2012 We introduce some new generalized sequence space related to the space ℓ(𝑝). Furthermore we investigate some topological properties as the completeness, the isomorphism, and also we give some inclusion relations between this sequence space and some of the
Vatan Karakaya, Necip Şimşek
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Generalized Statistical Convergence of Double Sequences in Paranormed Spaces
International Journal of Analysis and Applications, 2019 We introduce the notion of (λ, µ)-statistical convergence of double sequences in a setting of paranormed space and prove that every convergent sequence is (λ, µ)-statistically convergent but not conversely by supporting an illustrative example.
Abdullah Alotaibi +2 more
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Complete paranormed Orlicz Lorentz sequence spaces over n -normed spaces
Journal of the Egyptian Mathematical Society, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kuldip Raj
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Some new paranormed difference sequence spaces and weighted core
Computers and Mathematics With Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Serkan Demiriz, Celal Cakan
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