Results 81 to 90 of about 4,596,905 (360)

On summation of non-harmonic Fourier series

open access: yes, 2015
Let a sequence $\Lambda\subset\mathbb{C}$ be such that the corresponding system of exponential functions $\mathcal{E}(\Lambda):=\{e^{i\lambda t}\}_{\lambda\in\Lambda}$ is complete and minimal in $L^2(-\pi,\pi)$ and thus each function $f\in L^2(-\pi,\pi)$
Belov, Yurii, Lyubarskii, Yurii
core   +1 more source

Making Photoresponsive Metal–Organic Frameworks an Effective Class of Heterogeneous Photocatalyst

open access: yesAdvanced Functional Materials, EarlyView.
This review summarizes photoresponsive MOFs for photocatalytic applications, focusing on their capacity to enhance light harvesting, charge transfer, and surface reactions. While existing studies provide foundational insights, emerging characterization techniques enable a deeper understanding of photoresponsive MOFs.
Rui Liu   +3 more
wiley   +1 more source

Approximation of functions by (C,2)(E,1) product summability method of Fourier series

open access: yesRatio Mathematica, 2020
Various investigators such as Leindler [10], Chandra [1], Mishra et al. [7], Khan [11], Kushwaha [6] have determined the degree of approximation of  2 pai-periodic functions belonging to generalized Lipschitz class of functions through trigonometric ...
Jitendra Kumar Kushwaha
doaj   +1 more source

On the resolution power of Fourier extensions for oscillatory functions

open access: yes, 2011
Functions that are smooth but non-periodic on a certain interval possess Fourier series that lack uniform convergence and suffer from the Gibbs phenomenon.
Ben Adcock   +5 more
core   +1 more source

Ultra‐Effective Light‐Activated Antibacterial Activity via Carboxyl Functionalized Graphene Quantum Dots and Films

open access: yesAdvanced Functional Materials, EarlyView.
Carboxyl‐functionalized graphene quantum dots (cGQDs) exhibit high singlet oxygen quantum yield due to strong spin–orbit coupling. cGQDs achieve minimum bactericidal concentration of only 0.4 µg mL−1 against S. aureus under low‐intensity illumination.
Muhammad Hassnain   +10 more
wiley   +1 more source

Heat Conduction Modulation in Incommensurate Twisted Stacking of Transition‐Metal Dichalcogenide

open access: yesAdvanced Functional Materials, EarlyView.
The interlayer thermal conductance in twisted bilayer TMDs is initially investigated experimentally by the thermoreflectance method. The overlap of lattice vibrations within individual layers and the interlayer interactions, as elucidated through both Raman spectroscopy and molecular dynamics simulations, are demonstrated to be critical factors in ...
Bin Xu   +6 more
wiley   +1 more source

Best multiplier Approximation in L_(p,∅_n ) (B)

open access: yesAl-Mustansiriyah Journal of Science, 2019
The purpose of this paper is to find best multiplier approximation of unbounded functions in L_(p,∅_n ) –space by using Trigonometric polynomials and by de la Vallee- Poussin operators.
Saheb K. Al-Saidy   +2 more
doaj   +1 more source

Analysis of Fractal Wave Equations by Local Fractional Fourier Series Method

open access: yes, 2013
The fractal wave equations with local fractional derivatives are investigated in this paper. The analytical solutions are obtained by using local fractional Fourier series method.
Yong-Ju Yang, D. Baleanu, Xiao-jun Yang
semanticscholar   +1 more source

Photothermal Hydrogel with Mn3O4 Nanoparticles Alleviates Intervertebral Disc Degeneration by Scavenging ROS and Regulating Extracellular Matrix Metabolism

open access: yesAdvanced Functional Materials, EarlyView.
The MPTT‐nanozyme‐hydrogel system (Mn3O4@ChS‐HA) provides a multifunctional therapeutic strategy for intervertebral disc degeneration (IVDD), effectively targeting oxidative stress and enhancing AF repair by restoring extracellular matrix (ECM) and redox homeostasis.
Yangyang Chen   +13 more
wiley   +1 more source

Fourier transforms of Dini-Lipschitz functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1986
It is well known that if Lipschitz conditions of a certain order are imposed on a function f(x), then these conditions affect considerably the absolute convergence of the Fourier series and Fourier transforms of f.
M. S. Younis
doaj   +1 more source

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