Results 11 to 20 of about 117 (103)
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
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
A Note on Lacunary Sequence Spaces of Fractional Difference Operator of Order (α, β)
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In the present paper, we defined lacunary sequence spaces of fractional difference operator of order (α, β) over n‐normed spaces via Musielak‐Orlicz function M=Ik. Our aim in this paper is to study some topological properties and inclusion relation between the spaces I−NαβA,M,u,θ,Δγ,·,⋯,·0, I−NαβA,M,u,θ,Δγ,·,⋯,·, and I−NαβA,M,u,θ,Δγ,·,⋯,·∞.
Qing-Bo Cai +3 more
wiley +1 more source
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 Two concepts—one of Darbo‐type theorem and the other of Banach sequence spaces—play a very important and active role in ongoing research on existence problems. We first demonstrate the generalized Darbo‐type fixed point theorems involving the concept of continuous functions.
S. A. Mohiuddine +3 more
wiley +1 more source
On Generalized (p, q)‐Euler Matrix and Associated Sequence Spaces
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this study, we introduce new BK‐spaces bsr,tp,q and b∞r,tp,q derived by the domain of (p, q)‐analogue Br,t(p, q) of the binomial matrix in the spaces ℓs and ℓ∞, respectively. We study certain topological properties and inclusion relations of these spaces. We obtain a basis for the space bsr,tp,q and obtain Köthe‐Toeplitz duals of the spaces bsr,tp,q
Taja Yaying +3 more
wiley +1 more source
Paranormal spaces under ♢* [PDF]
Proceedings of the American Mathematical Society, 1999 We prove that paranormal spaces of character ≤
Kerry Smith, Paul Szeptycki
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Statistical convergence in a paranormed space [PDF]
Journal of Inequalities and Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alotaibi, Abdullah, Alroqi, Abdullah M
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On Paranorm Zweier -Convergent Sequence Spaces [PDF]
Journal of Mathematics, 2013 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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Filomat, 2017 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
openaire +3 more sources