Results 41 to 50 of about 6,057 (310)
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
Yet Another Proof of the Entropy Power Inequality
Yet another simple proof of the entropy power inequality is given, which avoids both the integration over a path of Gaussian perturbation and the use of Young's inequality with sharp constant or R\'enyi entropies. The proof is based on a simple change of
Rioul, Olivier
core +1 more source
Youngs inequality for multivariate functions [PDF]
The paper presents a generalization of Young's inequality to real functions of several variables. Moreover, the relevant facts about Young's inequality and its extension including improved proofs are provided in a review. The basic results are initiated by applying the integral method to a strictly increasing continuous function of one variable.
openaire +3 more sources
Delay-independent decentralised output feedback control for large-scale systems with nonlinear interconnections [PDF]
In this paper, a stabilisation problem for a class of large-scale systems with nonlinear interconnections is considered. All the uncertainties are nonlinear and are subject to the effects of time delay.
Spurgeon, Sarah K., Yan, Xinggang
core +1 more source
Generalized Reverse Young and Heinz Inequalities [PDF]
In this paper, we study the further improvements of the reverse Young and Heinz inequalities for the wider range of $v$, namely $v\in \mathbb{R}$. These modified inequalities are used to establish corresponding operator inequalities on a Hilbert space.
Furuichi, Shigeru +2 more
openaire +3 more sources
Applying an Ethical Lens to the Treatment of People With Multiple Sclerosis
ABSTRACT The practice of neurology requires an understanding of clinical ethics for decision‐making. In multiple sclerosis (MS) care, there are a wide range of ethical considerations that may arise. These involve shared decision‐making around selection of a disease‐modifying therapy (DMT), risks and benefits of well‐studied medications in comparison to
Methma Udawatta, Farrah J. Mateen
wiley +1 more source
Generalizations and applications of Young’s integral inequality by higher order derivatives
In the paper, the authors 1.generalize Young’s integral inequality via Taylor’s theorems in terms of higher order derivatives and their norms, and2.apply newly-established integral inequalities to estimate several concrete definite integrals, including a
Jun-Qing Wang, Bai-Ni Guo, Feng Qi
doaj +1 more source
Fractional generalizations of Young and Brunn-Minkowski inequalities
A generalization of Young's inequality for convolution with sharp constant is conjectured for scenarios where more than two functions are being convolved, and it is proven for certain parameter ranges.
Bobkov, Sergey +2 more
core +1 more source
A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
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
Some New Improvements of Hermite-Hadamard Type Inequalities Using Strongly $(s,m)$-Convex Function with Applications [PDF]
The trapezoidal-type inequalities are discovered in this study using the fractional operator, which produces powerful results. We established a general identity for Caputo-Fabrizio integral operators and the second derivative function.
Arslan Munir +5 more
doaj +1 more source

