Results 1 to 10 of about 1,347 (83)

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

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
doaj   +1 more source

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
doaj   +1 more source

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   +1 more source

Continuity and Harnack inequalities for local minimizers of non uniformly elliptic functionals with generalized Orlicz growth under the non-logarithmic conditions

Nonlinear Analysis, 2023
arXiv admin note: text overlap with arXiv:2208 ...
Mariia O. Savchenko, Igor I. Skrypnik, Yevgeniia A. Yevgenieva   +2 more
openaire   +4 more sources

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

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   +1 more source

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
doaj   +1 more source

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

The Local Logarithmic Brunn-Minkowski Inequality for Zonoids

, 2023
The aim of this note is to show that the local form of the logarithmic Brunn-Minkowski conjecture holds for zonoids. The proof uses a variant of the Bochner method due to Shenfeld and the author.
openaire   +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
doaj   +1 more source

On the variational interpretation of local logarithmic Sobolev inequalities

Annales de la Faculté des sciences de Toulouse : Mathématiques
Otto calculus has established itself as a powerful tool for proving quantitative energy dissipation estimates and provides with an elegant geometric interpretation of certain functional inequalities such as the Logarithmic Sobolev inequality.
Clerc, Gauthier, Conforti, Giovanni, Gentil, Ivan   +2 more
openaire   +2 more sources