Results 31 to 40 of about 61 (59)

New convolved Fibonacci collocation procedure for the Fitzhugh–Nagumo non-linear equation

open access: yesNonlinear Engineering
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

Ishikawa iteration process with errors for nonexpansive mappings in uniformly convex Banach spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 1, Page 49-53, 2000., 2000
We shall consider the behaviour of Ishikawa iteration with errors in a uniformly convex Banach space. Then we generalize the two theorems of Tan and Xu without the restrictions that C is bounded and limsupnsn < 1.
Deng Lei, Li Shenghong
wiley   +1 more source

Abel‐type weighted means transformations into ℓ

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 3, Page 197-204, 2000., 2000
Let qk=(k+α k) for α > −1 and Qn=∑k=0nqk. Suppose Aq = {ank}, where ank = qk/Qn for 0 ≤ k ≤ n and 0 otherwise. Aq is called the Abel‐type weighted mean matrix. The purpose of this paper is to study these transformations as mappings into ℓ. A necessary and sufficient condition for Aq to be ℓ‐ℓ is proved.
Mulatu Lemma, George Tessema
wiley   +1 more source

The Abel‐type transformations into ℓ

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 4, Page 775-784, 1999., 1999
Let t be a sequence in (0, 1) that converges to 1, and define the Abel‐type matrix Aα,t by for α > −1. The matrix Aα,t determines a sequence‐to‐sequence variant of the Abel‐type power series method of summability introduced by Borwein in [1]. The purpose of this paper is to study these matrices as mappings into ℓ.
Mulatu Lemma
wiley   +1 more source

Lucas difference sequence spaces defined by Orlicz function in 2-normed spaces

open access: yesDemonstratio Mathematica
In this article, we introduce new sequence spaces defined via an Orlicz function within the framework of a 2-normed space and incorporating the Lucas difference matrix and its associated matrix domain.
Cai Qing-Bo   +3 more
doaj   +1 more source

Invariant means and lacunary sequence spaces of order (α, β)

open access: yesDemonstratio Mathematica
In this article, we use the notion of lacunary statistical convergence of order (α,β)\left(\alpha ,\beta ) to introduce new sequence spaces by lacunary sequence, invariant means defined by Musielak-Orlicz function ℳ=(ℵk){\mathcal{ {\mathcal M} }}=\left({\
Ayman-Mursaleen Mohammad   +3 more
doaj   +1 more source

Foias Numbers

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
The Foias constant, a true mathematical gem, is generalized to a host of similar numbers. As is the case with all significant mathematics it is the underlying method, due to Foias, that matters.
Anghel Nicolae
doaj   +1 more source

Relative Uniform Convergence of Quantum Difference Sequence of Functions Related to ℓp-Space Defined by Orlicz Function

open access: yesAnnales Mathematicae Silesianae
The sequence spaces ruℓ∞(𝒪, ∇q), ruℓp(𝒪, ∇q), ruc(𝒪, ∇q), ruc0(𝒪, ∇q), rumϕ(𝒪, ∇q, p), runϕ(𝒪, ∇q, p), rumϕ(𝒪, ∇q), runϕ(𝒪, ∇q) are defined by the Orlicz function in this article.
Debbarma Diksha, Tripathy Binod Chandra
doaj   +1 more source

A strong convergence theorem on solving common solutions for generalized equilibrium problems and fixed-point problems in Banach space

open access: yesFixed Point Theory and Applications, 2011
In this paper, the common solution problem (P1) of generalized equilibrium problems for a system of inverse-strongly monotone mappings and a system of bifunctions satisfying certain conditions, and the common fixed-point problem (P2) for a family of ...
Qu De-ning, Cheng Cao-zong
doaj  

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