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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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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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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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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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THE PARETO PRINCIPLE OF OPTIMAL INEQUALITY* [PDF]
International Economic Review, 2012 The Pareto principle is often viewed as a mild requirement compatible with a variety of value judgments. In particular, it is generally thought that it can accommodate different degrees of inequality aversion. We show that this is generally not true in time‐consistent intertemporal models where some uncertainty prevails.
BOMMIER, Antoine, ZUBER, Stéphane
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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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On Weak Variational Control Inequalities via Interval Analysis
Mathematics, 2023 This paper deals with the connections between the interval-valued optimal control problem and the associated weak variational control inequality. More precisely, by considering the (strictly) LU-convexity and path independence properties of the involved ...
Savin Treanţă, Tareq Saeed
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Persistent inequality in economically optimal climate policies
Nature Communications, 2021 Benefit-cost analyses of climate policies have generated conflicting assessments; as social welfare is affected by regional heterogeneity. Here the authors show that economically optimal pathways are consistent with climate stabilization but are ...
Paolo Gazzotti +6 more
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