Results 1 to 10 of about 2,074 (210)

Logarithmic estimates for mean-field models in dimension two and the Schrödinger–Poisson system [PDF]

Comptes Rendus. Mathématique, 2022
In dimension two, we investigate a free energy and the ground state energy of the Schrödinger–Poisson system coupled with a logarithmic nonlinearity in terms of underlying functional inequalities which take into account the scaling invariances of the ...
Dolbeault, Jean, Frank, Rupert L., Jeanjean, Louis   +2 more
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Corrected Dual-Simpson-Type Inequalities for Differentiable Generalized Convex Functions on Fractal Set

Fractal and Fractional, 2022
The present paper provides several corrected dual-Simpson-type inequalities for functions whose local fractional derivatives are generalized convex. To that end, we derive a new local fractional integral identity as an auxiliary result.
Abdelghani Lakhdari, Wedad Saleh, Badreddine Meftah, Akhlad Iqbal   +3 more
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Some New Fractal Milne-Type Integral Inequalities via Generalized Convexity with Applications

Fractal and Fractional, 2023
This study aims to construct some new Milne-type integral inequalities for functions whose modulus of the local fractional derivatives is convex on the fractal set.
Badreddine Meftah, Abdelghani Lakhdari, Wedad Saleh, Adem Kiliçman   +3 more
doaj   +2 more sources

Octonion Special Affine Fourier Transform: Pitt’s Inequality and the Uncertainty Principles [PDF]

Fractal and Fractional, 2023
The special affine Fourier transform (SAFT) is an extended version of the classical Fourier transform and incorporates various signal processing tools which include the Fourier transforms, the fractional Fourier transform, the linear canonical transform,
Mohammad Younus Bhat, Aamir Hamid Dar, Mohra Zayed, Serkan Araci   +3 more
doaj   +2 more sources

Uncertainty Inequalities for the Linear Canonical Dunkl Transform

Mathematics
The aim of this paper is to show some uncertainty inequalities for the linear canonical Dunkl transform (LCDT), including sharp Heisenberg-type, entropic-type, logarithmic-type, Donoho–Stark-type and local-type uncertainty principles.
Saifallah Ghobber, Hatem Mejjaoli
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On the class of uncertainty inequalities for the coupled fractional Fourier transform

Journal of Inequalities and Applications, 2022
The coupled fractional Fourier transform F α , β $\mathcal {F}_{\alpha ,\beta}$ is a two-dimensional fractional Fourier transform depending on two angles α and β, which are coupled in such a way that the transform parameters are γ = ( α + β ) / 2 $\gamma
Firdous A. Shah, Waseem Z. Lone, Kottakkaran Sooppy Nisar, Thabet Abdeljawad   +3 more
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Clifford-Valued Shearlet Transforms on Cl(P,Q)-Algebras

Journal of Mathematics, 2022
The shearlet transform is a promising and powerful time-frequency tool for analyzing nonstationary signals. In this article, we introduce a novel integral transform coined as the Clifford-valued shearlet transform on Cl(p,q) algebras which is designed to
Firdous A. Shah, Aajaz A. Teali, Mawardi Bahri   +2 more
doaj   +1 more source

Why do some territories succeed in sustainability transitions while others fail? Carbon emission divergence in China’s border cities and the shrinkage-lock-in trap

Frontiers in Environmental Science
Sustainability transitions are profoundly shaped by territorial contexts, yet the mechanisms underlying spatial inequalities in transition capacity remain insufficiently understood, with empirical evidence from the Global South particularly scarce.
Xuncheng Fan, Lili Zhao, Hongjia Xu
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A Quantitative Hardy Scale for Mixed Local–Fractional Energies and Applications to Singular Schrödinger Forms

Axioms
We develop a quantitative Hardy scale for mixed quadratic energies combining the classical Dirichlet form and a fractional Dirichlet form, Eλ,s(u)=∫Rn|∇u(x)|2dx+λ∫Rn|(−Δ)s/2u(x)|2dx ...
Ghaliah Alhamzi, Riyaz Ahmad Padder, Zahoor Ahmad Rather, Veena Beleyur, Prakash Jadhav, Aadil Hussain Dar, Mdi Begum Jeelani   +6 more
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The KKL inequality and Rademacher type 2

Discrete Analysis
The KKL inequality and Rademacher type 2, Discrete Analysis 2024:2, 14 pp. The parallelepiped identity in a Euclidean space is the identity $$\|x+y\|^2+\|x-y\|^2=2(\|x\|^2+\|y\|^2),$$ which can easily be checked directly, and which generalizes to the ...
Paata Ivanisvili, Yonathan Stone
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