Stochastic Delay Population Dynamics under Regime Switching: Global Solutions and Extinction
Abstract and Applied Analysis, 2013 This paper is concerned with a delay Lotka-Volterra model under regime switching diffusion in random environment. By using generalized Itô formula, Gronwall inequality and Young’s inequality, some sufficient conditions for existence of global positive ...
Zheng Wu, Hao Huang, Lianglong Wang
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Power series inequalities via Young’s inequality with applications [PDF]
Journal of Inequalities and Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ibrahim, Alawiah +2 more
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Well posedness of magnetohydrodynamic equations in 3D mixed-norm Lebesgue space
Open Mathematics, 2022 In this paper, we introduce a new metric space called the mixed-norm Lebesgue space, which allows its norm decay to zero with different rates as ∣x∣→∞| x| \to \infty in different spatial directions.
Liu Yongfang, Zhu Chaosheng
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Optimal Young's inequality and its converse: A simple proof
, 1998 International audienceWe give a new proof of the sharp form of Young's inequality for convolutions, first proved by Beckner [Be] and Brascamp-Lieb [BrLi]. The latter also proved a sharp reverse inequality in the case of exponents less than 1.
Barthe, Franck
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Alternative reverse inequalities for Young's inequality [PDF]
Journal of Mathematical Inequalities, 2011 The constant in the right hand side of the inequalities (12) was corrected.
Nicuşor Minculete, Shigeru Furuichi
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Generalizations and applications of Young’s integral inequality by higher order derivatives
Journal of Inequalities and Applications, 2019 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
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Weighted Young-type inequalities on locally compact groups [PDF]
, 2020 We obtain an extension of Young's convolution inequality in weighted Lebesgue spaces of measurable functions defined on locally compact groups. Our result provides a unifed treatment of a theorem of Klein and Russo extending the classical Young's ...
Morneau-Guérin, Frédéric
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A Remark on the Hausdorff-Young Inequality [PDF]
Proceedings of the American Mathematical Society, 1995 We shall prove a sharp Hausdorff-Young inequality of Beckner type for functions on T \mathbb {T}
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Weighted $p$-R\'{e}nyi Entropy Power Inequality: Information Theory to Quantum Shannon Theory
, 2023 We study the $p$-R\'{e}nyi entropy power inequality with a weight factor $t$ on two independent continuous random variables $X$ and $Y$. The extension essentially relies on a modulation on the sharp Young's inequality due to Bobkov and Marsiglietti.
Jeong, Kabgyun +2 more
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Some New Improvements of Hermite-Hadamard Type Inequalities Using Strongly $(s,m)$-Convex Function with Applications [PDF]
Sahand Communications in Mathematical AnalysisThe 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
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