Results 61 to 70 of about 3,409,213 (214)

On some inequalities for Gaussian measures [PDF]

Proceedings of the ICM, Beijing 2002, vol. 2, 813--822, 2003
We review several inequalities concerning Gaussian measures - isoperimetric inequality, Ehrhard's inequality, Bobkov's inequality, S-inequality and correlation conjecture.
arxiv  

Operator inequalities via the triangle inequality [PDF]

arXiv, 2022
This article improves the triangle inequality for complex numbers, using the Hermite-Hadamard inequality for convex functions. Then, applications of the obtained refinement are presented to include some operator inequalities. The operator applications include numerical radius inequalities and operator mean inequalities.
arxiv  

Estimates of the norm of the convolution operator in anisotropic Besov spaces with the dominated mixed derivative

Қарағанды университетінің хабаршысы. Математика сериясы, 2019
In this paper, we investigate the boundedness of the norm of the convolution operator in Sobolev spaces with the dominated mixed derivative and anisotropic Nikolsky-Besov spaces.
K.K. Sadykova, N.T. Tleukhanova
doaj   +1 more source

Inequalities of Levin-Stečkin, Clausing and Chebyshev revisited [PDF]

arXiv, 2016
We prove the Levin-Ste\v{c}kin inequality using Chebyshev's inequality and symmetrization. Symmetry and slightly modified Chebyshev's inequality are also the key to an elementary proof of Clausing's inequality .
arxiv  

Entropy Inequalities and Gaussian Comparisons [PDF]

arXiv, 2022
We establish a general class of entropy inequalities that take the concise form of Gaussian comparisons. The main result unifies many classical and recent results, including the Shannon-Stam inequality, the Brunn-Minkowski inequality, the Zamir-Feder inequality, the Brascamp-Lieb and Barthe inequalities, the Anantharam-Jog-Nair inequality, and others.
arxiv  

New Inequalities and Applications [PDF]

arXiv, 2019
This paper presents some new inequalities, the most important of which is the inequality given in Theorem 2.1. It can solve a class of inequalities by a unified method. An important application of the inequality given in Theorem 2.1 is to derive another new general form of inequality.
arxiv  

Young and Inverse Young Inequalities on Euclidean Jordan Algebra

Axioms
This paper mainly focuses on in-depth research on inequalities on symmetric cones. We will further analyze and discuss the inequalities we developed on the second-order cone and develop more inequalities.
Chien-Hao Huang
doaj   +1 more source

A New AILC for a Class of Nonlinearly Parameterized Systems with Unknown Delays and Input Dead-Zone

Journal of Applied Mathematics, 2014
This paper presents an adaptive iterative learning control (AILC) scheme for a class of nonlinear systems with unknown time-varying delays and unknown input dead-zone. A novel nonlinear form of deadzone nonlinearity is presented.
Jian-ming Wei, Yun-an Hu, Mei-mei Sun
doaj   +1 more source

Some New Integral Inequalities for Several Kinds of Convex Functions [PDF]

arXiv, 2012
In this study, we obtain some new integral inequalities for different classes of convex functions by using some elementary inequalities and classical inequalities like general Cauchy inequality and Minkowski inequality.
arxiv  

A New Proof of Young’s Inequality Using Multivariable Optimization [PDF]

, 2021
Tadesse Bekeshie
openalex   +1 more source