Results 31 to 40 of about 5,993 (157)

A Sharp Inequality on the Exponentiation of Functions on the Sphere

Communications on Pure and Applied Mathematics, 2021
In this paper we show a new inequality that generalizes to the unit sphere the Lebedev‐Milin inequality of the exponentiation of functions on the unit circle. It may also be regarded as the counterpart on the sphere of the second inequality in the Szegö limit theorem on the Toeplitz determinants on the circle. On the other hand, this inequality is also
Chang, Sun-Yung Alice, Gui, Changfeng
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Inequalities with exponential weights

Journal of Computational and Applied Mathematics, 2008
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Jung, H. S., Sakai, R.
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Inequalities for exponential sums [PDF]

Sbornik: Mathematics, 2017
Inequalities for exponential sums are studied. Our results improve an old result of G. Halasz and a recent result of G. Kos. We prove several other essentially sharp related results in this paper.
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Approximating trigonometric functions by using exponential inequalities

Journal of Inequalities and Applications, 2019
In this paper, some exponential inequalities are derived from the inequalities containing trigonometric functions. Numerical examples show that one can achieve much tighter bounds than those of prevailing methods, which are presented by Cusa, Huygens ...
Xiao-Diao Chen, Junyi Ma, Yixin Li
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Exponential Rosenthal and Marcinkiewicz - Zygmund inequalities [PDF]

Ufa Mathematical Journal, 2020
Summary: We extend the Rosenthal inequalities and the Marcinkiewicz-Zygmund inequalities to some exponential Orlicz spaces. The Rosenthal inequalities and the Marcinkiewicz-Zygmund inequalities are fundamental estimates on the moment of random variables on Lebesgue spaces.
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Exponential inequalities for a class of operators

International Journal of Mathematics and Mathematical Sciences, 2002
Characterizations of weight pairs are proved for which weighted exponential-logarithmic integral inequalities are satisfied. The results given contain characterizations of weights for which inequalities involving the Riemann-Liouville and Laplace type ...
Hans P. Heinig
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Global Exponential Synchronization of the Memristor-Based Fuzzy Cellular Neural Networks via the Delayed Impulsive Control

Nantong Daxue xuebao. Ziran kexue ban, 2020
The paper studies the global exponential synchronization problem of the memristor-based fuzzy cellular neural networks. First, by utilizing the Filippov solution and the measurable selection theorems, the memristor-based fuzzy cellular neural network is ...
MU Xiaohui;TANG Rongqiang;YANG Xinsong
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Global Exponential Stability of Fractional Order Complex-Valued Neural Networks with Leakage Delay and Mixed Time Varying Delays

Fractal and Fractional, 2022
This paper investigates the global exponential stability of fractional order complex-valued neural networks with leakage delay and mixed time varying delays.
M. Hymavathi, G. Muhiuddin, M. Syed Ali, Jehad F. Al-Amri, Nallappan Gunasekaran, R. Vadivel   +5 more
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Inequalities for the Tail of the Exponential Series

Zeitschrift für Analysis und ihre Anwendungen, 2002
Summary: Let \[ I_n(x)= e^{-x}- \sum^n_{k=0} (-1)^k {x^k\over k!}= \sum^\infty_{k=n+1}(-1)^k {x^k\over k!}. \] We prove: if \(\alpha,\beta> 0\) are real numbers and \(n\geq 1\) is an integer, then the inequalities \[ {n+1\over n+2} {(1+{x\over n+\alpha})^2\over (1+{x\over n- 1+\alpha})(1+ {x\over n+1+\alpha})}< {I_{n- 1}(x)I_{n+1}(x)\over (I_n(x))^2}< {
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Generalization of Jensen's and Jensen-Steffensen's inequalities and their converses by Lidstone's polynomial and majorization theorem

Journal of Numerical Analysis and Approximation Theory, 2017
In this paper, using majorization theorems and Lidstone's interpolating polynomials we obtain results concerning Jensen's and Jensen-Steffensen's inequalities and their converses in both the integral and the discrete case.
Gorana Aras-Gazic, Josip Pecaric, Ana Vukelic   +2 more
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