Results 1 to 10 of about 5,993 (157)
About some exponential inequalities related to the sinc function [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we prove some exponential inequalities involving the sinc function. We analyze and prove inequalities with constant exponents and inequalities with certain polynomial exponents. Also, we establish intervals in which these inequalities hold.
Branko Malesevic +2 more
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Exponential inequalities for nonstationary Markov chains [PDF]
Dependence Modeling, 2019 Exponential inequalities are main tools in machine learning theory. To prove exponential inequalities for non i.i.d random variables allows to extend many learning techniques to these variables.
Paul Doukhan +2 more
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Exponential Inequalities for Positive Linear Mappings [PDF]
Journal of Function Spaces, 2018 In this article, we present exponential-type inequalities for positive linear mappings and Hilbert space operators, by means of convexity and the Mond-Pečarić method. The obtained results refine and generalize some known results.
Mohammad Sababheh +2 more
doaj +4 more sources
IEEE Access, 2016 This paper is concerned with the exponential stability analysis for time-delay systems. First, two new weighted integral inequalities are presented based on the auxiliary function-based integral inequalities.
Cheng Gong, Guopu Zhu, Ligang Wu
exaly +3 more sources
On the Generalization for Some Power-Exponential-Trigonometric Inequalities
Mathematics, 2019 In this paper, we introduce and prove several generalized algebraic-trigonometric inequalities by considering negative exponents in the inequalities.
Anibal Coronel +2 more
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Mathematics, 2019 In this paper, we establish three fundamental integral identities by the first- and second-order derivatives for a given function via the fractional integrals with exponential kernel.
Xia Wu, Jinrong Wang, Jialu Zhang
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A Class of Exponential Inequalities [PDF]
Mathematical Inequalities & Applications, 2003 The main result of the paper is the inequality \[ \sum_{i=1}^N x_i e^{x_i} \geq {\max\{2,e(1-1/N)\}\over N} \sum_{i=1}^N x_i^2 \] for all \(x_1,\dots,x_N\) satisfying \(\sum_{i=1}^N x_i\geq0\). This generalizes a recent result due to \textit{B. Kostant} and \textit{P. W. Michor} [``The generalized Cayley map from an algebraic group to its Lie algebra'',
Borwein, Jonathan, Girgensohn, Roland
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Weighted Exponential Inequalities [PDF]
gmj, 2001 Abstract Necessary and sufficient conditions on weight pairs are found for the validity of a class of weighted exponential inequalities involving certain classical operators. Among the operators considered are the Hardy averaging operator and its variants in one and two dimensions, as well as the Laplace transform.
Heinig, H. P., Kerman, R., Krbec, M.
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On De la Peña Type Inequalities for Point Processes
Mathematics, 2022 There has been a renewed interest in exponential concentration inequalities for stochastic processes in probability and statistics over the last three decades.
Naiqi Liu +2 more
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Computation, 2021 The issue of the robust exponential passivity analysis for uncertain neutral-type neural networks with mixed interval time-varying delays is discussed in this work. For our purpose, the lower bounds of the delays are allowed to be either positive or zero
Nayika Samorn +3 more
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