Results 11 to 20 of about 2,341,083 (234)

A Hilbert-type fractal integral inequality and its applications. [PDF]

open access: yesJ Inequal Appl, 2017
By using thefractal theory and the methods of weight function, a Hilbert-type fractal integral inequality and its equivalent form are given. Their constant factors are proved being the best possible, and their applications are discussed briefly.
Liu Q, Sun W.
europepmc   +2 more sources

A Novel Generalized Integral Inequality Based on Free Matrices for Stability Analysis of Time-Varying Delay Systems

open access: yesIEEE Access, 2020
This paper proposes a novel generalized integral inequality based on free matrices and applies it to stability analysis of time-varying delay systems. The proposed integral inequality estimates the upper bound of the augmented quadratic term of the state
Jun Hui Lee, In Seok Park, P. Park
semanticscholar   +3 more sources

Refined Wirtinger-type integral inequality. [PDF]

open access: yesJ Inequal Appl, 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.
Zhang L, Wang S.
europepmc   +2 more sources

Godunova Type Inequality for Sugeno Integral [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2022
In this paper, we investigate  Godunova type inequality for Sugeno integrals in two cases. At the first case, we suppose that the inner integral is the  Riemann integral and the remaining two integrals are of Sugeno type.
Bayaz Daraby   +2 more
doaj   +1 more source

Finite-Time Stability Analysis of Switched Genetic Regulatory Networks with Time-Varying Delays via Wirtinger's Integral Inequality

open access: yesComplex, 2021
The problem of finite-time stability of switched genetic regulatory networks (GRNs) with time-varying delays via Wirtinger’s integral inequality is addressed in this study.
S. Saravanan   +5 more
semanticscholar   +1 more source

A new generalization of some quantum integral inequalities for quantum differentiable convex functions

open access: yesAdvances in Difference Equations, 2021
In this paper, we offer a new quantum integral identity, the result is then used to obtain some new estimates of Hermite–Hadamard inequalities for quantum integrals. The results presented in this paper are generalizations of the comparable results in the
Yi-Xia Li   +4 more
doaj   +1 more source

Some new inequalities for (α,m1,m2 )-GA convex functions

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020
In this manuscript, firstly we introduce and study the concept of (α,m_1,m_2 )-Geometric-Arithmetically (GA) convex functions and some algebraic properties of such type functions.
Mahir Kadakal
doaj   +1 more source

Integral inequalities for closed linear Weingarten submanifolds in the product spaces [PDF]

open access: yesAnais da Academia Brasileira de Ciências, 2023
An integral inequality for closed linear Weingarten -submanifolds with parallel normalized mean curvature vector field (pnmc lw-submanifolds) in the product spaces ( ) × ℝ, > ≥ 4, where ( ) is a space form of constant sectional ...
FÁBIO R. DOS SANTOS   +2 more
doaj   +1 more source

An Integral Inequality [PDF]

open access: yesMathematical Inequalities & Applications, 2001
Let \((X,{\mathcal A},\mu)\) be a measure space, and let \(S:X\to {\mathcal A}\) be a function of type (C), i.e., \(S\) satisfies the following three conditions: C1) \(x\notin S(x)\) for every \(x\in X;\) C2) if \(y\in S(x),\) then \(S(y)\subset S(x);\) C3) \(\{ (x,y)\); \(y\in S(x)\} \) is \( \mu \times \mu \) measurable.
openaire   +2 more sources

A new integral inequality and application to stability of time-delay systems

open access: yesApplied Mathematics Letters, 2020
This paper is concerned with the delay-dependent stability analysis for linear systems with state and distributed delays. Firstly, based on an integral equality, a new integral inequality is obtained.
Junkang Tian, Zerong Ren, S. Zhong
semanticscholar   +1 more source

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