Results 11 to 20 of about 5,993 (157)
Asymptotic estimates and exponential stability for higher-order monotone difference equations
Advances in Difference Equations, 2005 Asymptotic estimates are established for higher-order scalar difference equations and inequalities the right-hand sides of which generate a monotone system with respect to the discrete exponential ordering.
Mihály Pituk, Eduardo Liz
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Peierls–Bogolyubov’s Inequality for Deformed Exponentials [PDF]
Entropy, 2017 We study the convexity or concavity of certain trace functions for the deformed logarithmic and exponential functions, and in this way obtain new trace inequalities for deformed exponentials that may be considered as generalizations of Peierls–Bogolyubov’s inequality.
Frank Hansen, Jin Liang, Guanghua Shi
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Some remarks on Cîrtoaje’s conjecture
Journal of Inequalities and Applications, 2016 In this paper, we give new conditions under which the Cîrtoaje’s conjecture is also valid. We also show that a certain generalization of the Cîrtoaje’s inequality fulfils an interesting property.
Ladislav Matejíčka
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Journal of Inequalities and Applications, 2016 In this paper, we prove the Cîrtoaje conjecture under other conditions.
Ladislav Matejíčka
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Associative Memories to Accelerate Approximate Nearest Neighbor Search
Applied Sciences, 2018 Nearest neighbor search is a very active field in machine learning. It appears in many application cases, including classification and object retrieval.
Vincent Gripon +2 more
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Inequalities and pth moment exponential stability of impulsive delayed Hopfield neural networks
Journal of Inequalities and Applications, 2021 In this paper, the pth moment exponential stability for a class of impulsive delayed Hopfield neural networks is investigated. Some concise algebraic criteria are provided by a new method concerned with impulsive integral inequalities.
Yutian Zhang, Guici Chen, Qi Luo
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On Extended Convex Functions via Incomplete Gamma Functions
Journal of Function Spaces, 2021 Convex functions play an important role in many areas of mathematics. They are especially important in the study of optimization problems where they are distinguished by a number of convenient properties. In this paper, firstly we introduce the notion of
Yan Zhao +3 more
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Exponential Stochastic Inequality
, 2023 We develop the concept of exponential stochastic inequality (ESI), a novel notation that simultaneously captures high-probability and in-expectation statements. It is especially well suited to succinctly state, prove, and reason about excess-risk and generalization bounds in statistical learning, specifically, but not restricted to, the PAC-Bayesian ...
Grünwald, Peter D. +2 more
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Refinements of Some Classical Inequalities Involving Sinc and Hyperbolic Sinc Functions
Annales Mathematicae Silesianae, 2023 Several bounds of trigonometric-exponential and hyperbolic-exponential type for sinc and hyperbolic sinc functions are presented. In an attempt to generalize the results, some known inequalities are sharpened and extended.
Bagul Yogesh J. +3 more
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Inequalities for the Trace of Matrix Exponentials [PDF]
SIAM Journal on Matrix Analysis and Applications, 1988 L'A. établit une inégalité relative à la trace de matrices exponentielles: si A est une matrice non-normale, \(tr e^ Ae^{A^ T}\leq tr e^{A+A^ T}.\) On retrouve alors le cas particulier où, A et B étant deux matrices symétriques, \(tr e^{A+B}\leq tr e^ Ae^ B.\)
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