Results 41 to 50 of about 2,341,083 (234)

Constructive Conditions for a High-Dimensional Hilbert-Type Integral Inequality Involving Multivariate Variable Upper Limit Integral Functions and Optimal Constant Factors

Axioms
Hilbert integral inequalities are beautiful inequalities with a symmetric structure, and have attracted much attention because of their important applications in the study of integral operators, and the Hilbert-type integral inequality involving variable
Qian Zhao, Yong Hong, Bing He
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Differential and integral inequalities [PDF]

Proceedings of the American Mathematical Society, 1964
RAYMOND M. REDHEFFER This note presents new proofs for some important inequalities [l]. The assumptions on positivity or monotony of the various functions are weaker than those in [l] or in the original references (see [l]) and yet the method seems astonishingly elementary. We set u' = du/dt, and ?2^0; the reversal of inequalities for ? 0. Then (1) Tu ^
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Asymptotical stability of fractional order systems with time delay via an integral inequality

IET Control Theory & Applications, 2018
In this study, the asymptotical stability for several classes of fractional order differential systems with time delay is investigated. The authors first present an integral inequality by which the Halanay inequality is extended to fractional order case.
Bin‐bin He, Hua-cheng Zhou, YangQuan Chen, C. Kou   +3 more
semanticscholar   +1 more source

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

Nonlinear 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, M. Syed Ali, Ahmed Alsaedi, Bashir Ahmad   +3 more
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On new general versions of Hermite–Hadamard type integral inequalities via fractional integral operators with Mittag-Leffler kernel

Journal 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, Ahmet Ocak Akdemir, Merve Avcı Ardıç, Dumitru Baleanu   +3 more
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Some New Integral Inequalities for Several Kinds of Convex Functions [PDF]

, 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, Alper Ekinci, M. Emin Özdemir, Ocak Akdemir   +3 more
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Advancements in integral inequalities of Ostrowski type via modified Atangana-Baleanu fractional integral operator

Heliyon
Convexity and fractional integral operators are closely related due to their fascinating properties in the mathematical sciences. In this article, we first establish an identity for the modified Atangana-Baleanu (MAB) fractional integral operators. Using
Gauhar Rahman, Muhammad Samraiz, Kamal Shah, Thabet Abdeljawad, Yasser Elmasry   +4 more
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Mean Value Integral Inequalities [PDF]

Real Analysis Exchange, 2012
Let $F:[a,b]\longrightarrow \R$ have zero derivative in a dense subset of $[a,b]$. What else we need to conclude that $F$ is constant in $[a,b]$? We prove a result in this direction using some new Mean Value Theorems for integrals which are the real core of this paper. These Mean Value Theorems are proven easily and concisely using Lebesgue integration,
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Fractional Quantum Integral Inequalities [PDF]

Journal of Inequalities and Applications, 2011
Several authors have studied fractional integral inequalities and applications [\textit{S. L. Kalla} and \textit{A. Rao}, Matematiche 66, 59--66 (2011; Zbl 1222.26023); \textit{Z. Denton} and \textit{A. S. Vatsala}, Comput. Math. Appl. 59, No. 3, 1087--1094 (2010; Zbl 1189.26044); \textit{G. A. Anastassiou}, Comput. Math. Appl. 54, No.
Umut Mutlu Özkan, Hasan Öğünmez   +1 more
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On an Open Problem by Feng Qi Regarding an Integral Inequality [PDF]

, 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
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