A Gaussian expectation product inequality

2017 ◽  
Vol 124 ◽  
pp. 1-4
Author(s):  
Zhenxia Liu ◽  
Zhi Wang ◽  
Xiangfeng Yang
Keyword(s):  
Product Inequality

scholarly journals Finite-Time Synchronization of Complex Multilinks Networks with Perturbations and Time-Varying Delay Based on Nonlinear Adaptive Controller

2019 ◽  
Vol 2019 ◽  
pp. 1-12
Author(s):  
Lixiang Li ◽  
Qingbiao Liu ◽  
Tao Li
Keyword(s):  
Finite Time ◽  
Time Synchronization ◽  
Sufficient Conditions ◽  
Adaptive Controller ◽  
Linear Matrix ◽  
Time Varying ◽  
Finite Time Stability ◽  
Analytical Technique ◽  
Time Varying Delay ◽  
Product Inequality

This paper utilizes nonlinear adaptive feedback controller to make the complex multilinks networks with perturbations and time-varying delays achieve the finite-time synchronization. By designing nonlinear controllers, we use suitable Lyapunov functions and sufficient conditions to guarantee the finite-time synchronization between the drive system and the response system in terms of adaptive control. Several novel and useful finite-time synchronization criteria are accurately derived based on linear matrix inequality, Kronecker product, inequality analytical technique, and finite-time stability theory. Finally, numerical examples are given to demonstrate the validity and the effectiveness of our theoretical results.

scholarly journals Note on a Difference-Product Inequality

1962 ◽  
Vol 13 (2) ◽  
pp. 173-174
Author(s):  
A. C. Aitken
Keyword(s):  
Unit Circle ◽  
Complex Difference ◽  
Image Position ◽  
Product Inequality

L. J. Mordell has recently considered (1) the squared modulus of a complex difference-product, namelyunder the conditionsand also under the quite different conditionHe proves that under (2) the maximum of δ is nn, and is attained when and only when the zr are vertices of a regular n-gon on the unit circle.

An Inner product Inequality

1973 ◽  
Vol 4 (3) ◽  
pp. 514-518 ◽  
Author(s):  
Michael H. Moore
Keyword(s):  
Inner Product ◽  
Product Inequality

scholarly journals A product inequality for extreme distances

2019 ◽  
Vol 85 ◽  
pp. 101577
Author(s):  
Adrian Dumitrescu
Keyword(s):  
Product Inequality

scholarly journals The three-dimensional Gaussian product inequality

2020 ◽  
Vol 485 (2) ◽  
pp. 123858
Author(s):  
Guolie Lan ◽  
Ze-Chun Hu ◽  
Wei Sun
Keyword(s):  
Three Dimensional ◽  
Product Inequality

scholarly journals Piecewise straightening and Lipschitz simplicial volume

2017 ◽  
Vol 09 (01) ◽  
pp. 167-193
Author(s):  
Karol Strzałkowski
Keyword(s):  
Sectional Curvature ◽  
Finite Volume ◽  
Riemannian Manifolds ◽  
Simplicial Volume ◽  
Product Inequality ◽  
Complete Riemannian Manifolds ◽  
Proportionality Principle

We study the Lipschitz simplicial volume, which is a metric version of the simplicial volume. We introduce the piecewise straightening procedure for singular chains, which allows us to generalize the proportionality principle and the product inequality to the case of complete Riemannian manifolds of finite volume with sectional curvature bounded from above.

scholarly journals The Proofs of Product Inequalities in Vector Spaces

2018 ◽  
Vol 11 (2) ◽  
pp. 375-389
Author(s):  
Benedict Barnes ◽  
E.D.J. Owusu-Ansah ◽  
S.K. Amponsah ◽  
C. Sebil
Keyword(s):  
Euclidean Space ◽  
Vector Spaces ◽  
Product Inequality

In this paper, we introduce the proofs of product inequalities:u v ≤ u + v , for all u, v ∈ [0, 2], and u + v ≤ u v , for allu, v ∈ [2, ∞). The first product inequality u v ≤ u + v holds forany two vectors in the interval [0, 1] in Holder’s space and also valid anytwo vectors in the interval [1, 2] in the Euclidean space. On the otherhand, the second product inequality u + v ≤ u v ∀u, v ∈ [2, ∞)only in Euclidean space. By applying the first product inequality to theL p spaces, we observed that if f : Ω → [0, 1], and g : Ω → R, thenf p g p ≤ f p + g p . Also, if f, g : Ω → R, then f p + g p ≤f p g p .

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