Results 1 to 10 of about 33,955 (311)
An Optimal Double Inequality for Means [PDF]
Journal of Inequalities and Applications, 2010 For , the generalized logarithmic mean , arithmetic mean and geometric mean of two positive numbers and are defined by , ; , , , ; , , ; , , ; and , respectively. In this paper, we give an answer to the open problem: for , what
Wei-Mao Qian, Ning-Guo Zheng
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Triangle Inequality for Inverse Optimal Control
IEEE Access, 2023 Inverse optimal control (IOC) is a problem of estimating a cost function based on the behaviors of an expert that behaves optimally with respect to the cost function.
Sho Mitsuhashi, Shin Ishii
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An optimal autoconvolution inequality [PDF]
Canadian Mathematical Bulletin, 2023 AbstractLet $\mathcal {F}$ denote the set of functions $f \colon [-1/2,1/2] \to \mathbb {R}_{\geq 0}$ such that $\int f = 1$ . We determine the value of $\inf _{f \in \mathcal {F}} \| f \ast f \|_2^2$ up to a $4 \cdot 10^{-6}$ error, thereby making progress on a problem asked by Ben Green.
Ethan Patrick White
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Optimal Transport to the Entropy-Power Inequality and a Reverse Inequality. [PDF]
2017 Information Theory and Applications Workshop (ITA), 2017 IEEE Information Theory and Applications Workshop (ITA 2017), San Diego, USA, Feb.
Olivier Rioul
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Optimal isoperimetric inequalities [PDF]
Bulletin of the American Mathematical Society, 1985 We make precise and prove the following four heuristic statements: 1. Optimal isoperimetric inequality. Corresponding to each m-1 dimensional closed surface T in \(R^ n\) there is an m dimensional surface Q having T as boundary such that \(| Q| \leq \gamma (m)| T|^{m/(m-1)}\) with equality if and only if T is a standard round m-1 sphere (of some radius)
F. J. Almgren
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Generalizing Optimal Bell Inequalities [PDF]
Physical Review Letters, 2020 Bell inequalities are central tools for studying nonlocal correlations and their applications in quantum information processing. Identifying inequalities for many particles or measurements is, however, difficult due to the computational complexity of characterizing the set of local correlations.
Bernards, Fabian, Gühne, Otfried
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Axioms, 2023 In the present article, we consider submanifolds in golden Riemannian manifolds with constant golden sectional curvature. On such submanifolds, we prove geometric inequalities for the Casorati curvatures.
Majid Ali Choudhary, Ion Mihai
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Optimal Sine and Sawtooth Inequalities [PDF]
Journal of Fourier Analysis and Applications, 2022 We determine the optimal inequality of the form $\sum_{k=1}^m a_k\sin kx\leq 1$, in the sense that $\sum_{k=1}^m a_k$ is maximal. We also solve exactly the analogous problem for the sawtooth (or signed fractional part) function. Equivalently, we solve exactly an optimization problem about equidistribution on the unit circle.
Louis Esser +3 more
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Assessing optimal: inequalities in codon optimization algorithms [PDF]
BMC Biology, 2021 Abstract Background Custom genes have become a common resource in recombinant biology over the last 20 years due to the plummeting cost of DNA synthesis. These genes are often “optimized” to non-native sequences for overexpression in a non-native host by substituting synonymous codons within ...
Matthew J. Ranaghan +3 more
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Optimal Inequalities for Power Means [PDF]
Journal of Applied Mathematics, 2012 We present the best possible power mean bounds for the product for any p > 0, α ∈ (0,1), and all a, b > 0 with a ≠ b. Here, Mp(a, b) is the pth power mean of two positive numbers a and b.
Li, Yong-Min +3 more
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