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Refined Wirtinger-type integral inequality [PDF]
Journal of Inequalities and Applications, 2018 Based on the extreme value conditions of a multiple variables function, a new class of Wirtinger-type double integral inequality is established in this paper.
Liansheng Zhang, Shuxia Wang
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Finite-time H∞ synchronization control for coronary artery chaos system with input and state time-varying delays. [PDF]
PLoS ONE, 2022 This is the first time for studying the issue of finite-time H∞ synchronization control for the coronary artery chaos system (CACS) with input and state time-varying delays. Feedback control is planned for finite-time of synchronization CACS.
Charuwat Chantawat, Thongchai Botmart
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Wirtinger inequality using Bessel functions [PDF]
Advances in Difference Equations, 2018 This paper presents of some new Wirtinger-type integral inequalities by using Bessel functions. We establish one weighted Wirtinger inequality.
Tatjana Z. Mirković
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A kind of sharp Wirtinger inequality [PDF]
Journal of Inequalities and Applications, 2019 In this study, we give a kind of sharp Wirtinger inequality ∥f∥p≤Cr,p,q∥f(r)∥qfor all 1≤p,q≤∞, $$ \Vert f \Vert _{p}\le C_{r,p,q} \bigl\Vert f^{(r)} \bigr\Vert _{q} \quad \text{for all } 1\le p,q\le \infty , $$ where f is defined on [0,1] $[0,1]$ and ...
Guiqiao Xu, Zehong Liu, Wanting Lu
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A discrete approach to Wirtinger's inequality [PDF]
Journal of Mathematical Inequalities, 2019 Considering Wirtinger's inequality for piece-wise equipartite functions we find a discrete version of this classical inequality. The main tool we use is the theorem of classification of isometries.
Cufí, Julià +2 more
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Some integral inequalities related to Wirtinger's result for p-norms
Cubo, 2021 In this paper we establish several natural consequences of some Wirtinger type integral inequalities for p-norms. Applications related to the trapezoid unweighted inequalities, of Grüss' type inequalities and reverses of Jensen's inequality are also ...
S. S. Dragomir
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Actuators, 2021 This paper has dealt with a tracking control problem for a class of unstable reaction–diffusion system with time delay. Iterative learning algorithms are introduced to make the infinite-dimensional repetitive motion system track the desired trajectory. A
Yaqiang Liu, Jianzhong Li, Zengwang Jin
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IEEE Access, 2021 This paper studies the problem of extended dissipativity analysis for Markovian jump neural networks (MJNNs) with time-varying delay. Combining Wirtinger-based double integral inequality and S-procedure lemma, a novel double integral-based delay-product ...
Xiaoping Huang +3 more
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Sharp unifying generalizations of Opial’s inequality
Journal of Inequalities and Applications, 2023 Opial’s inequality and its ramifications play an important role in the theory of differential and difference equations. A sharp unifying generalization of Opial’s inequality is presented that contains both its continuous and discrete versions.
Chris A. J. Klaassen
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Symmetry-breaking in a generalized Wirtinger inequality [PDF]
, 2017 The search of the optimal constant for a generalized Wirtinger inequality in an interval consists in minimizing the $p$-norm of the derivative among all functions whose $q$-norm is equal to~1 and whose $(r-1)$-power has zero average.
Ghisi, Marina +2 more
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