Results 51 to 60 of about 3,442,984 (210)

On the Effective Existence of Schauder Bases (Extended Abstract) [PDF]

open access: yes, 2008
We construct a computable Banach space which possesses a Schauder basis, but does not possess any computable Schauder ...
Bosserhoff, Volker
core   +1 more source

On the Domain of the Pell-Lucas Matrix in the Spaces c and c_0

open access: yesDera Natung Government College Research Journal
In this study, we introduce new Banach sequence spaces $c(\Theta), c_0(\Theta)$, defined via a regular infinite matrix $ \Theta = (\lambda_{nk})$, where \[ \Theta_{nk} = \begin{cases} \dfrac{2\lambda_k}{3\lambda_n+\lambda_{n-1}} & 0 \leq k \leq n ...
Shiva Shah
doaj   +1 more source

Measure of noncompactness for an infinite system of fractional Langevin equation in a sequence space

open access: yesAdvances in Difference Equations, 2021
A new sequence space related to the space ℓ p $\ell _{p}$ , 1 ≤ p < ∞ $1\leq ...
Ahmed Salem   +2 more
doaj   +1 more source

Inner‐Layer Asymptotics in Partially Perforated Domains: Coupling Across Flat and Oscillating Interfaces

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 3353-3384, 15 March 2026.
ABSTRACT The article examines a boundary‐value problem in a bounded domain Ωε$$ {\Omega}_{\varepsilon } $$ consisting of perforated and imperforate regions, with Neumann conditions prescribed at the boundaries of the perforations. Assuming the porous medium has symmetric, periodic structure with a small period ε$$ \varepsilon $$, we analyze the limit ...
Taras Melnyk
wiley   +1 more source

On the Effective Existence of Schauder Bases

open access: yes, 2009
We construct a computable Banach space which possesses a Schauder basis, but does not possess any computable Schauder ...
Bosserhoff, Volker, Bosserhoff,Volker
core   +1 more source

On an orthogonal bivariate trigonometric Schauder basis for the space of continuous functions

open access: yesJournal of Approximation Theory, 2019
The main result of the article is the construction of an orthogonal trigonometric Schauder basis in the space of all continuous functions on the torus \(C(T^2)\) with the smallest growth of the polynomial degree. This is achieved by using ideas involving a dyadic anisotropic periodic multiresolution analysis.
Derevianko, Nadiia   +2 more
openaire   +4 more sources

A Comprehensive Review of the Multitarget Effects of Subinhibitory Concentrations of Essential Oils Against Salmonella

open access: yesComprehensive Reviews in Food Science and Food Safety, Volume 25, Issue 2, March 2026.
ABSTRACT Essential oils (EOs) exhibit antimicrobial activity against foodborne pathogens due to their chemical composition. This review investigates the mechanisms of action of EOs at subinhibitory concentrations against Salmonella strains. Even at subinhibitory concentrations, EOs induce cellular stress and modulate bacterial metabolism. EOs interfere
Carolina Ramos   +5 more
wiley   +1 more source

Schauder estimates for parabolic p$p$‐Laplace systems

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We establish the local Hölder regularity of the spatial gradient of bounded weak solutions u:ET→Rk$u\colon E_T\rightarrow \mathbb {R}^k$ to the nonlinear system of parabolic type ∂tu−div(a(x,t)μ2+|Du|2p−22Du)=0inET,$$\begin{equation*} \partial _tu-\operatorname{div}{\Big(a(x,t){\left(\mu ^2+|Du|^2\right)}^\frac{p-2}{2}Du\Big)}=0 \qquad \mbox ...
Verena Bögelein   +4 more
wiley   +1 more source

The gE-Approximation Property Determined by the Banach Space E = ℓq(ℓp)

open access: yesMathematics
We study the gE-approximation property for the Banach space E=ℓq(ℓp), which is an extension of Saphar’s p-approximation property. We establish some characterizations of the gE-approximation property using the space of E-summing operators, which is an ...
Ju Myung Kim
doaj   +1 more source

Boundary Value Problems With ψ‐Hilfer Fractional Derivative: Existence Theorems in Nonlinear Analysis

open access: yesInternational Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This work investigates the existence of infinitely many nontrivial weak solutions to a boundary value problem involving the right‐sided and left‐sided ψ‐Hilfer fractional derivative and ψ‐Riemann–Liouville fractional integral operators. Using variational methods and critical point theory, we obtain new existence criteria for solutions of the given ...
Amjad Salari   +2 more
wiley   +1 more source

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