Results 41 to 50 of about 5,993 (157)

Ostrowski and Trapezoid Type Inequalities for the Generalized $k$-$g$-Fractional Integrals of Functions with Bounded Variation

Communications in Advanced Mathematical Sciences, 2019
In this paper we establish some Ostrowski and trapezoid type inequalities for the $k$-$g$-fractional integrals of functions of bounded variation. Applications for mid-point and trapezoid inequalities are provided as well.
Sever Dragomir
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An extended Jordan’s inequality in exponential type

Applied Mathematics Letters, 2011
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Inequalities for entire functions of exponential type [PDF]

Proceedings of the American Mathematical Society, 1976
This paper is concerned with a class of linear operators acting in the space of the trigonometric polynomials and preserving the inequalities of the form |
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Golden–Thompson’s Inequality for Deformed Exponentials [PDF]

Journal of Statistical Physics, 2015
Deformed logarithms and their inverse functions, the deformed exponentials, are important tools in the theory of non-additive entropies and non-extensive statistical mechanics. We formulate and prove counterparts of Golden-Thompson's trace inequality for q-exponentials with parameter q in the interval [1,3].
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An Exponential Inequality for $U$-Statistics of I.I.D. Data [PDF]

Theory of Probability & Its Applications, 2021
Устанавливается экспоненциальное неравенство для вырожденных $U$-статистик порядка $r$, основанных на н.о.р. данных. Это неравенство позволяет оценить хвост максимума абсолютной величины $U$-статистики суммой двух членов: экспоненциального и второго члена, содержащего хвост $h(X_1,…,X_n)$.
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Exponential convexity for Jensen’s inequality for norms [PDF]

Journal of Inequalities and Applications, 2016
n this paper, we investigate n-exponential convexity and log-convexity using the positive functional defined as the difference of the left-hand side and right-hand side of the inequality from (Pečarić and Janić in Facta Univ., Ser. Math. Inform. 3:39-42, 1988). We also give mean value theorems of Lagrange and Cauchy types.
Julije Jakšetić, Rishi Naeem, Josip Pečarić   +2 more
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A Law of the Iterated Logarithm for Sub-Linear Expectation Under a General Moment Condition

Mathematics
In this paper, we obtain the law of the iterated logarithm under a general moment condition with respect to sub-linear expectation. We present a novel proof by combining the exponential inequality with the subsequence method.
Xinrong Han, Cheng Hu
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Sufficient Conditions on the Exponential Stability of Neutral Stochastic Differential Equations with Time-Varying Delays

Abstract and Applied Analysis, 2014
The exponential stability is investigated for neutral stochastic differential equations with time-varying delays. Based on the Lyapunov stability theory and linear matrix inequalities (LMIs) technique, some delay-dependent criteria are established to ...
Yanwei Tian, Baofeng Chen
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An Exponential Inequality for Symmetric Random Variables

The American Mathematical Monthly, 2015
We prove the following exponential inequality: Let $n\geq 1$ and let $X_1,...,X_n$ be $n$ independent identically distributed symmetric real-valued random variables. For any $x,y>0$, we have \[\mathbb{P}\big({X_1+...+X_n}\geq x,\, {X_1^2+...+X_n^2}\leq y\big)< \exp(-\frac{x^2}{2y})\,.\]
Raphaël Cerf, Matthias Gorny
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Exponential and Moment Inequalities for U-Statistics [PDF]

, 2000
22 ...
Giné, Evarist, Latała, Rafał, Zinn, Joel   +2 more
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