Results 71 to 80 of about 9,771 (187)
Almost convergent sequence spaces derived by the domain of quadruple band matrix
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2020 In this work, we construct the sequence spaces f(Q(r,s,t,u)), f0(Q(r,s,t,u)) and fs(Q(r,s,t,u)), where Q(r,s,t,u) is quadruple band matrix which generalizes the matrices Δ3, B(r,s,t), Δ2, B(r,s) and Δ, where Δ3, B(r,s,t), Δ2, B(r,s) and Δ are called ...
Mustafa Cemil Bişgin
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Copper Lacus Sequence Spaces Associated With Operator Ideals and Their Geometric Properties
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this research, we introduce the regular Copper Lucas matrix operator, which is based on the Copper Lucas sequence. We investigate the sequence spaces c0(Γ) and c(Γ), as well as lpΓ for 1 ≤ p ≤ ∞, all of which are linked to the newly defined regular Copper Lucas matrix Γ.
Shiva Shah +4 more
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Directed bases with net convergence [PDF]
Surveys in Mathematics and its ApplicationsThe concept of a basis having a sequence of elements in a topological vector space is extended to a concept of a directed basis having a net of elements in a topological vector space.
AR. Murugan +2 more
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A New Generalization of the Hahn Sequence Space via Speed Sequences λ = λk
Journal of Mathematics, Volume 2025, Issue 1, 2025.This paper investigates the properties and structural characteristics of the new Hahn sequence space defined through the speed sequence λ = (λk). First, we define the new Hahn sequence space h(λ) with speed, where the speed sequence λ = (λk) is an unbounded monotone increasing sequence of positive real numbers.
Orhan Tuğ, Ljubisa Kocinac
wiley +1 more source
On q-Pell sequence spaces: A study of operator ideals and geometric properties
Kuwait Journal of ScienceThe matrix \( \mathcal{P}(q) = \{\Psi_{\lambda \mu}(q)\}_{\lambda, \mu \in \mathbb{N}} \), called the \( q \)-Pell matrix, with elements determined by \[ \mathcal{P}(q) = \begin{cases} \dfrac{2~q^{\mu-1}~\Psi{_\mu(q)}}{\Psi{_{\lambda+1}(q)}+\Psi{_ ...
Shiva Shah, Bipan Hazarika
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A Schauder Basis for Multiparameter Persistence
Certain classes of multiparameter persistence modules may be encoded as signed barcodes, represented as points in a polyhedral subset of Euclidean space, we refer to as signed persistence diagrams. These signed persistence diagrams exist in the dual space of compactly supported, Lipschitz functionals on a polyhedral pair.
Bubenik, Peter, Ross, Zachariah
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Journal of Mathematics, Volume 2025, Issue 1, 2025.We aim to introduce a numerical method to solve a system of two‐dimensional nonlinear integral equations of Volterra–Fredholm type with the second kind on nonrectangular domains. The method estimates the solutions of the system by a discrete collocation method based on radial basis functions constructed on scattered points.
Mohsen Jalalian +3 more
wiley +1 more source
On Motzkin sequence spaces via q-analog and compact operators
Demonstratio MathematicaWe aim to develop a qq-analog of recently introduced Motzkin sequence spaces by Erdem et al. [Motzkin sequence spaces and Motzkin core, Numer. Funct. Anal. Optim. 45 (2024), no.
Yaying Taja, Mursaleen Mohammad
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Schauder Basis With Finite Blaschke Products
We construct a Schauder basis for the space $Hol(\mathbb D)$, the space of holomorphic functions on the closed unit disk, consisting entirely of finite Blaschke products. The expansion coefficients are given explicitly. Our result remains valid when $Hol(\mathbb D)$ is equipped with a broader class of norms satisfying natural structural conditions ...
Fricain, E +3 more
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The Franklin system as Schauder basis for 𝐿^{𝑝}_{𝜇}[0,1] [PDF]
Proceedings of the American Mathematical Society, 1988 The present work is devoted to a characterization of those spaces L μ p [ 0 , 1 ] , p ≥ 1 , μ L_\mu ^p[0,1],p \geq 1,\mu totally finite, for which F \mathcal {F} , the Franklin system, is a ...
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