Results 71 to 80 of about 3,409,213 (214)

Several applications of Cartwright-Field's inequality [PDF]

arXiv, 2011
In this paper we present several applications of Cartwright-Field's inequality. Among these we found Young's inequality, Bernoulli's inequality, the inequality between the weighted power means, H\"{o}lder's inequality and Cauchy's inequality. We give also two applications related to arithmetic functions and to operator inequalities.
arxiv  

On some determinant and matrix inequalities with a geometrical flavour [PDF]

arXiv, 2016
In this paper we study some determinant inequalities and matrix inequalities which have a geometrical flavour. We first examine some inequalities which place work of Macbeath [13] in a more general setting and also relate to recent work of Gressman [8]. In particular, we establish optimisers for these determinant inequalities.
arxiv  

Young's integral inequality with upper and lower bounds

, 2010
Young's integral inequality is reformulated with upper and lower bounds for the remainder. The new inequalities improve Young's integral inequality on all time scales, such that the case where equality holds becomes particularly transparent in this new ...
Anderson, Douglas R., Noren, Steven, Perreault, Brent   +2 more
core   +1 more source

Robust Position Control of a Knee-Joint Rehabilitation Exoskeleton Using a Linear Matrix Inequalities-Based Design Approach

Applied Sciences
This study focuses on developing a control methodology for exoskeleton robots designed for lower limb rehabilitation, specifically addressing the needs of elderly individuals and pediatric therapy.
Sahar Jenhani, Hassène Gritli, Jyotindra Narayan   +2 more
doaj   +1 more source

A Prékopa-Leindler type inequality of the $L_p$ Brunn-Minkowski inequality [PDF]

arXiv, 2020
In this paper, we prove a Pr\'ekopa-Leindler type inequality of the $L_p$ Brunn-Minkowski inequality. It extends an inequality proved by Das Gupta [8] and Klartag [16], and thus recovers the Pr\'ekopa-Leindler inequality. In addition, we prove a functional $L_p$ Minkowski inequality.
arxiv  

A New Refinement of Young's Inequality

, 2008
In this short note, the well-known Young’s inequality is refined by a double inequality. Mathematics subject classification (2000): 26D15.
A. Hoorfar, Feng Qi (祁锋)
semanticscholar   +1 more source

A Nonlinear Generalizations of Dynamic Inequalities on Time Scales

Ratio Mathematica
Considering the distinctive generalization of the Gronwall-Bellman inequality, in this paper we innovates new dynamical inequalities on time scale. These inequalities will be acted a profound tools for studying qualitative properties such as uniqueness ...
Vikas Sopan Jadhav, Asma Kazi, Sitaram G. Latpate, Vandana S. Ghodke   +3 more
doaj   +1 more source

A perspective on graph theory-based stability analysis of impulsive stochastic recurrent neural networks with time-varying delays

Advances in Difference Equations, 2019
In this work, the exponential stability problem of impulsive recurrent neural networks is investigated; discrete time delay, continuously distributed delay and stochastic noise are simultaneously taken into consideration.
M. Iswarya, R. Raja, G. Rajchakit, J. Cao, J. Alzabut, C. Huang   +5 more
doaj   +1 more source

A Gordon-Chevet type Inequality [PDF]

arXiv, 1991
We prove a new inequality for Gaussian processes, this inequality implies the Gordon-Chevet inequality. Some remarks on Gaussian proofs of Dvoretzky's theorem are given.
arxiv  

Almost Disturbance Decoupling Control Strategy for a Class of Underactuated Nonlinear Systems with Disturbances

Actuators
This paper introduces an almost disturbance decoupling approach to address the disturbance problem for a class of underactuated nonlinear systems. First, a residual system is constructed using a virtual controller and partial differential equations. Next,
Renhan Wu, Xiaoping Liu, Tianfei Chen, Lijun Sun, Na Wang   +4 more
doaj   +1 more source