Results 11 to 20 of about 3,836,353 (120)
λ-Statistical Convergence in Paranormed Space [PDF]
Abstract and Applied Analysis, 2013 The concept of λ-statistical convergence for sequences of real numbers was introduced in Mursaleen (2000). In this paper, we prove decomposition theorem for λ-statistical convergence.
Mohammed A. Alghamdi, Mohammad Mursaleen
doaj +2 more sources
Generalized Statistical Convergence of Double Sequences in Paranormed Spaces [PDF]
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
doaj +3 more sources
Paranormed Motzkin sequence spaces [PDF]
Dera Natung Government College Research JournalIn 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
openaire +3 more sources
An AQCQ-functional equation in paranormed spaces [PDF]
Advances in Difference Equations, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Park, Choonkil, Lee, Jung
openaire +2 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
Some Properties of Measures of Noncompactness in Paranormed Spaces [PDF]
Proceedings of the American Mathematical Society, 1988 This paper presents new properties of important measures of noncompactness in paranormed spaces. Using these properties some fixed point theorems for multivalued mappings in general topological vector spaces are obtained in a straightforward way.
Olga Hadžić
openaire +3 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