Results 81 to 90 of about 4,596,905 (360)
On summation of non-harmonic Fourier series
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
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
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
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
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
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)
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
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
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
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