Results 51 to 60 of about 2,194,406 (379)

On an Open Problem by Feng Qi Regarding an Integral Inequality [PDF]

open access: yes, 2002
In the article, a functional inequality in abstract spaces is established, which gives a new affirmative answer to an open problem posed by Feng Qi in Several integral inequalities which appeared in J. Inequal. Pure Appl. Math. 1 (2000), no. 2, Art. 19.
Mazouzi, S, Qi, Feng
core  

Some bounds for the complete elliptic integrals of the first and second kinds

open access: yes, 2009
In the article, the complete elliptic integrals of the first and second kinds are bounded by using the power series expansions of some functions, the celebrated Wallis' inequality, and an integral inequality due to R. P. Agarwal, P. Cerone, S.
Guo, Bai-Ni, Qi, Feng
core   +1 more source

An integral inequality with applications [PDF]

open access: yesTransactions of the American Mathematical Society, 1984
Using a technical integral inequality, J. Moser proved a sharp result on exponential integrability of a certain space of Sobolev functions. In this paper, we show that the integral inequality holds in a general setting using nonincreasing functions and a certain class of convex functions. We then apply the integral inequality to extend the above result
openaire   +2 more sources

Longitudinal Relationship Between Pain and Depression in People With Inflammatory Arthritis: A Narrative Review

open access: yesArthritis Care &Research, EarlyView.
As many patients with inflammatory arthritis (IA) have chronic pain, understanding how to best assess and manage pain in IA is a priority. Comorbid depression is prevalent in adults with IA, affecting 15% to 39% of people. Although pain and depression are thought to be associated in IA, this concept is largely based on cross‐sectional data.
Natasha Cox   +3 more
wiley   +1 more source

On new general versions of Hermite–Hadamard type integral inequalities via fractional integral operators with Mittag-Leffler kernel

open access: yesJournal of Inequalities and Applications, 2021
The main motivation of this study is to bring together the field of inequalities with fractional integral operators, which are the focus of attention among fractional integral operators with their features and frequency of use.
Havva Kavurmacı Önalan   +3 more
doaj   +1 more source

A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems

open access: yesInternational Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam   +2 more
wiley   +1 more source

Finite-time passivity for neutral-type neural networks with time-varying delays – via auxiliary function-based integral inequalities

open access: yesNonlinear Analysis, 2020
In this paper, we investigated the problem of the finite-time boundedness and finitetime passivity for neural networks with time-varying delays. A triple, quadrable and five integral terms with the delay information are introduced in the new Lyapunov ...
Shanmugam Saravanan   +3 more
doaj   +1 more source

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

open access: yes, 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 ...
Ahmet   +3 more
core  

Optimization With Affine Homogeneous Quadratic Integral Inequality Constraints [PDF]

open access: yesIEEE Transactions on Automatic Control, 2016
We introduce a new technique to optimize a linear cost function subject to an affine homogeneous quadratic integral inequality, i.e., the requirement that a homogeneous quadratic integral functional affine in the optimization variables is nonnegative ...
Giovanni Fantuzzi   +3 more
semanticscholar   +1 more source

Data‐Driven Distributed Safe Control Design for Multi‐Agent Systems

open access: yesInternational Journal of Adaptive Control and Signal Processing, EarlyView.
This paper presents a data‐driven control barrier function (CBF) technique for ensuring safe control of multi‐agent systems (MASs) with uncertain linear dynamics. A data‐driven quadratic programming (QP) optimization is first developed for CBF‐based safe control of single‐agent systems using a nonlinear controller. This approach is then extended to the
Marjan Khaledi, Bahare Kiumarsi
wiley   +1 more source

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