Results 31 to 40 of about 106 (99)
The Abel‐type transformations into Gw
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
wiley +1 more source
Ideal convergence in n-normal spaces and some new sequence spaces via n-norm
In this paper we introduced some new sequence spaces using n-normed spaces and gave some preliminary result for matrix transformations between some sequence spaces. 2000 Mathematics Subject Classification. Primary 40A05, 40A45; Secondary 46A70.
Ahmet Sahiner, Mehmet Gürdal
core +1 more source
On a three-dimensional system of difference equations with variable coefficients [PDF]
Consider the three-dimensional system of difference equations xn+1 = ∏k j=0 zn−3j ∏k j=1 xn−(3j−1) ( an + bn ∏k j=0 zn−3j ), yn+1 = ∏k j=0 xn−3j ∏k j=1 yn−(3j−1) ( cn + dn ∏k j=0 xn−3j ), zn+1 = ∏k j=0 yn−3j ∏k j=1 zn−(3j−1) ( en +
Nouressadat, Touafek +3 more
core
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
wiley +1 more source
On modified asymptotic series involving confluent hypergeometric functions [PDF]
16 pages, 5 figures.-- MSC2000 codes: 33C15, 33F99, 34E05, 30E15, 40A05.A modification of standard Poincaré asymptotic expansions for functions defined by means of Laplace transforms is analyzed.
Deaño Cabrera, Alfredo, Temme, Nico M.
core +3 more sources
On Some Subspaces of Entire Sequence Space of Fuzzy Numbers
In this paper we introduce some subspaces of fuzzy entire sequence space. Some general properties of these sequence spaces are discussed. Also some inclusion relation involving the spaces are obtained.
T. Balasubramanian, A. Pandiarani
core +1 more source
Theoretical Solvability of a Three‐Dimensional Cyclic Delayed Rational Difference System
This paper introduces a new three‐dimensional cyclic rational difference system with mixed delays and establishes its theoretical solvability under suitable nondegeneracy and well‐definedness assumptions. The main novelty lies in combining cyclic interactions with dual‐delay rational dynamics within a unified framework that extends a classical scalar ...
Hashem Althagafi, Smritijit Sen
wiley +1 more source
Lacunary statistical convergence and inclusion properties between lacunary methods
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
wiley +1 more source
New convolved Fibonacci collocation procedure for the Fitzhugh–Nagumo non-linear equation
This 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
doaj +1 more source
On sequences not enjoying Schur’s property
Here we proved the existence of a closed vector space of sequences - any nonzero element of which does not comply with Schur’s property, that is, it is weakly convergent but not norm convergent. This allows us to find similar algebraic structures in some
Jiménez-Rodríguez Pablo
doaj +1 more source

