Results 21 to 30 of about 5,299,272 (110)
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 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
openaire +2 more sources
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
A NEW PARANORMED SERIES SPACE USING EULER TOTIENT MEANS AND SOME MATRIX TRANSFORMATIONS [PDF]
, 2020 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
core +1 more source
Paranorm I-convergent sequence spaces
Mathematica Slovaca, 2009 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
openaire +2 more sources
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020 Let Γ(m) denotes the gamma function of a real number m∉{0,-1,-2,…}. Then the difference matrix Δ^α of a fractional order α is defined as (Δ^α v)_k=∑_i〖(-1)^i (Γ(α+1))/(i!Γ(α-i+1)) v_(k+i) 〗.Using the difference operator Δ^α, we introduce paranormed ...
Taja Yayıng
doaj +1 more source
A New Paranormed Sequence Space Defined by Euler Totient Matrix [PDF]
, 2019 In the present paper, by using the regular matrix given by Euler Totient function, we give a new paranormed sequence space ,(?,p) and prove that the spaces ,(?,p) and ,(p) are linearly isomorphic.
İlkhan, Merve +2 more
core +1 more source
On the triple paranormed sequence space of binomial Poisson matrix [PDF]
AIP Conference Proceedings, 2019 In this paper the triple sequence space are the generalization of the classical Maddox’s paranormed sequence space have been introduced and investigated some topological properties of triple sequence space of binomial Poisson matrix of Abχ3rs and AbΛ3rs.In this paper the triple sequence space are the generalization of the classical Maddox’s paranormed ...
Subramanian, N. +2 more
openaire +2 more sources
, 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
Çınar, Muhammed +2 more
core +1 more source