Results 21 to 30 of about 3,738,852 (246)
On three-dimensional Hall-magnetohydrodynamic equations with partial dissipation
In this paper, we address the Hall-MHD equations with partial dissipation. Applying some important inequalities (such as the logarithmic Sobolev inequality using BMO space, bilinear estimates in BMO space, Young’s inequality, cancellation property ...
Baoying Du
doaj +1 more source
New Young Inequalities and Applications [PDF]
We establish upper bounds for the convolution operator acting between interpolation spaces. This gives new Young inequalities in the context of Lorentz–Karamata spaces, grand Lebesgue spaces and small Lebesgue spaces besides many other known results. Furthermore, we use this abstract Young inequality to prove a bilinear interpolation theorem for limit ...
Fernández-Martínez, Pedro +1 more
openaire +3 more sources
Young's inequality for locally compact quantum groups [PDF]
In this paper, we generalize Young's inequality for locally compact quantum groups and obtain some results for extremal pairs of Young's inequality and extremal functions of Hausdorff-Young inequality.
Zhengwei Liu, Simeng Wang, Jinsong Wu
semanticscholar +1 more source
Short probabilistic proof of the Brascamp-Lieb and Barthe theorems [PDF]
We give a short proof of the Brascamp-Lieb theorem, which asserts that a certain general form of Young's convolution inequality is saturated by Gaussian functions. The argument is inspired by Borell's stochastic proof of the Pr\'ekopa-Leindler inequality
Lehec, Joseph
core +3 more sources
The interpolation of Young’s inequality using dyadics
In this article we interpolate Young’s inequality using a delicate treatment of dyadics. Although there are other simple methods to prove these results, we present this new approach hoping to reveal more of the hidden properties of such inequalities.
Mohammad Sababheh, Abdelrahman Yousef
doaj +1 more source
Some inequalities on generalized entropies [PDF]
We give several inequalities on generalized entropies involving Tsallis entropies, using some inequalities obtained by improvements of Young's inequality.
A El-Barakaty +43 more
core +2 more sources
On a Refined Operator Version of Young's Inequality and Its Reverse [PDF]
In this note, some refinements of Young's inequality and its reverse for positive numbers are proved, and using these inequalities, some operator versions and Hilbert-Schmidt norm versions for matrices of these inequalities are obtained.
A. Sheikhhosseini, M. Khosravi
semanticscholar +1 more source
On further refinements for Young inequalities
In this paper sharp results on operator Young’s inequality are obtained. We first obtain sharp multiplicative refinements and reverses for the operator Young’s inequality.
Furuichi Shigeru, Moradi Hamid Reza
doaj +1 more source
Optimal young's inequality and its converse: a simple proof [PDF]
. We give a new proof of the sharp form of Young's inequality for convolutions, first proved by Beckner [Be] and Brascamp-Lieb [BrLi]. The latter also proved a sharp reverse inequality in the case of exponents less than 1.
F. Barthe
semanticscholar +1 more source
Multiple-Term Refinements of Young Type Inequalities
Recently, a multiple-term refinement of Young’s inequality has been proved. In this paper, we show its reverse refinement. Moreover, we will present multiple-term refinements of Young’s inequality involving Kantorovich constants.
Daeshik Choi
doaj +1 more source

