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Inequalities for a Multiple Integral [PDF]

Acta Mathematica Hungarica, 1999
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On a quadratic integral inequality

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1978
SynopsisThe inequality considered iswhere p and q are given real-valued coefficients on the interval [a, b), with b ≦ ∝, of the real line; here D is a linear manifold of the Hilbert function space L2(a, b), and μ is a real number characterised in terms of the spectrum of a uniquely determined self-adjoint differential operator in L2(a, b).
W. N. Everitt, R. J. Amos
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On two integral inequalities [PDF]

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1977
SynopsisIn 1932, Hardy and Littlewood [1] proved the inequalityThe constant 4 is best possible; equality occurs when f(x) = A Y(Bx), wherey(x) = e−½x sin (x sin y−y) (y = ⅓π), (x ≧ o)and A and B (>0) are constants. In [2], three proofs are given. The inequality has also been discussed in [3, 4].
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Repeated Integral Inequalities

IMA Journal of Numerical Analysis, 1984
The purpose of this paper is to present the following linear generalization of Gronwall's inequality: Let the function x be continuous and non-negative on the interval [0,T]. If \[ x(t)\leq \Phi (t)+M\int^{t}_{0}\int^{t_ m}_{0}...\int^{t_ 1}_{0}[x(s)/(t_ 1-s)^{\alpha}]ds dt_ 1...dt_ m,\quad t\in [0,T], \] where \(\alpha 0\) is constant, and \(\Phi\) (t)
Jennifer Dixon, Sean McKee
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Inequality and Economic Integration

2004
Introduction Part 1: Inequality in an Historical Perspective 1. Globalization, Income Distribution and History Part 2: Income Inequality 2. From Earning Dispersion to Income Inequality 3. Social Mobility 4. The Size of Redistribution in OECD Countries: Does it influence Wage Inequality Part 3: Globalisation and Well-Being 5. Global Health 6.
SAVAGLIO, Ernesto, FARINA F.
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Free-Matrix-Based Integral Inequality for Stability Analysis of Systems With Time-Varying Delay

IEEE Transactions on Automatic Control, 2015
Hongbing Zeng, Yong He, Min Wu, Jinhua She   +3 more
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A generalized free-matrix-based integral inequality for stability analysis of time-varying delay systems

Applied Mathematics and Computation, 2019
Hongbing Zeng, Xiao-Gui Liu, Wei Wang
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An overview of real‐world data sources for oncology and considerations for research

Ca-A Cancer Journal for Clinicians, 2022
Lynne Penberthy, Donna R Rivera, Jennifer L Lund, Msph   +2 more
exaly  

The mechanisms of integral membrane protein biogenesis

Nature Reviews Molecular Cell Biology, 2021
Ramanujan Shankar Hegde, Robert J Keenan
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Wirtinger-based multiple integral inequality for stability of time-delay systems

International Journal of Control, 2018
Sanbo Ding, Zhanshan Wang, Huaguang Zhang   +2 more
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