Results 21 to 30 of about 82 (80)
Some properties of Banach‐valued sequence spaces ℓp[X]
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 5, Page 289-300, 2001., 2001 We discuss some properties of the Banach‐valued sequence space ℓp[X](1 ≤ p < ∞), the space of weakly p‐summable sequences on a Banach space X. For example, we characterize the reflexivity of ℓp[X], convergent sequences on ℓp[X], and compact subsets of ℓp[X].
Qingying Bu
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The Abel‐type transformations into Gw
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 2, Page 103-109, 2001., 2001 The Abel‐type matrix Aα,t was introduced and studied as a mapping into ℓ by Lemma (1999). The purpose of this paper is to study these transformations as mappings into Gw. The necessary and sufficient conditions for Aα,t to be Gw‐Gw are established. The strength of Aα,t in the Gw‐Gw setting is investigated.
Mulatu Lemma, George Tessema
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International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 1, Page 9-23, 2001., 2001 The paper aims to develop for sequence spaces E a general concept for reconciling certain results, for example inclusion theorems, concerning generalizations of the Köthe‐Toeplitz duals E×(×∈{α, β}) combined with dualities (E, G), G ⊂ E×, and the SAK‐property (weak sectional convergence).
Johann Boos, Toivo Leiger
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Some new facts about group 𝒢 generated by the family of convergent permutations
Open Mathematics, 2017 The aim of this paper is to present some new and essential facts about group 𝒢 generated by the family of convergent permutations, i.e. the permutations on ℕ preserving the convergence of series of real terms.
Wituła Roman +2 more
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Lacunary statistical convergence and inclusion properties between lacunary methods
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 3, Page 175-180, 2000., 2000 A lacunary sequence is an increasing integer sequence θ = {kr} such that kr − kr−1 → ∞ as r → ∞. A sequence x is called sθ‐convergent to L provided that for each ϵ > 0, limr(1/(kr − kr−1)){the number of kr−1 < k ≤ kr : |xk − L| ≥ ϵ} = 0. In this paper, we study the general description of inclusion between two arbitrary lacunary sequences convergent.
Jinlu Li
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Statistical limit point theorems
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 11, Page 741-752, 2000., 2000 It is known that given a regular matrix A and a bounded sequence x there is a subsequence (respectively, rearrangement, stretching) y of x such that the set of limit points of Ay includes the set of limit points of x. Using the notion of a statistical limit point, we establish statistical convergence analogues to these results by proving that every ...
Jeff Zeager
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On some topological properties of generalized difference sequence spaces
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 11, Page 785-791, 2000., 2000 We obtain some topological results of the sequence spaces Δm(X), where Δm(X) = {x = (xk) : (Δmxk) ∈ X}, (m ∈ ℕ), and X is any sequence space. We compute the pα‐, pβ‐, and pγ‐duals of l∞, c, and c0 and we investigate the N‐(or null) dual of the sequence spaces Δm(l∞), Δm(c), and Δm(c0).
Mikail Et
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Complex Dynamics and Chaos Control of Discrete Prey–Predator Model With Caputo Fractional Derivative
Complexity, Volume 2025, Issue 1, 2025.This work examines a discrete prey–predator model using the fractional derivative. The conditions for the existence and stability of the fixed points in the model are identified. The analysis is centered on exploring various bifurcations at the positive fixed point to understand their ecological implications.
Rowshon Ara +2 more
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The ℓ‐translativity of Abel‐type matrix
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 3, Page 189-195, 2000., 2000 Lemma introduced the Abel‐type matrix Aα,t defined by ank=(k+α k)tnk+1(1−tn)α+1, where α > −1, 0 < tn < 1, for all n, and limtn = 1; and studied it as mappings into ℓ. In this paper, we extend our study of this matrix and investigate its translativity in the ℓ‐ℓ setting.
Mulatu Lemma
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New convolved Fibonacci collocation procedure for the Fitzhugh–Nagumo non-linear equation
Nonlinear EngineeringThis article is dedicated to propose a spectral solution for the non-linear Fitzhugh–Nagumo equation. The proposed solution is expressed as a double sum of basis functions that are chosen to be the convolved Fibonacci polynomials that generalize the well-
Abd-Elhameed Waleed Mohamed +2 more
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