Results 11 to 20 of about 16,442 (247)
Some inequalities on generalized entropies [PDF]
, 2011 We give several inequalities on generalized entropies involving Tsallis entropies, using some inequalities obtained by improvements of Young's inequality.
A El-Barakaty +43 more
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Generalized Secret Sharing and Monotone Functions [PDF]
, 1990 Secret Sharing from the perspective of threshold schemes has been well-studied over the past decade. Threshold schemes, however, can only handle a small fraction of the secret sharing functions which we may wish to form. For example, if it is desirable to divide a secret among four participants A, B, C, and D in such a way that either A together with B
Josh Benaloh, Jerry Leichter
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A direct approach to the stable distributions [PDF]
, 2016 The explicit form for the characteristic function of a stable distribution on the line is derived analytically by solving the associated functional equation and applying theory of regular variation, without appeal to the general L\'evy-Khintchine ...
Pitman, E. J. G., Pitman, Jim
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Generalized roll-call model for the Shapley-Shubik index [PDF]
, 2018 In 1996 Dan Felsenthal and Mosh\'e Machover considered the following model. An assembly consisting of $n$ voters exercises roll-call. All $n!$ possible orders in which the voters may be called are assumed to be equiprobable.
Kurz, Sascha
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, 2018 There has been a revival of interest in localization phenomena in quasiperiodic systems with a view to examining how they differ fundamentally from such phenomena in random systems.
Banerjee, Sumilan +3 more
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, 2009 A class of functions involving the divided differences of the psi function and the polygamma functions and originating from Kershaw's double inequality are proved to be completely monotonic.
Guo, Bai-Ni, Qi, Feng
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The geometric mean is a Bernstein function [PDF]
, 2013 In the paper, the authors establish, by using Cauchy integral formula in the theory of complex functions, an integral representation for the geometric mean of $n$ positive numbers.
Li, Wen-Hui, Qi, Feng, Zhang, Xiao-Jing
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Pointwise Monotonic Functions and Generalized Subadditivity
Real Analysis Exchange, 2013 A real function \(f\) defined in an open interval \(I\) is called increasing at a point \(x_0\in I\) if \[ \limsup_{x\to x_0-} f(x) \leq f(x_0 ) \leq \liminf_{x\to x_0+} f(x) \] and \(f\) is called pointwise increasing in \(I\) if it is increasing at every point of \(I\). Analogously, we define a pointwise decreasing function (see [\textit{J. Matkowski}
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On Singular Generalized Absolutely Monotone Functions
Journal of Approximation Theory, 1994 Let \(\{u_ i\}^ \infty_{i=0}\) be an infinite sequence of functions belonging to \(C^ \infty [a,b]\), such that for all \(n\), \(n = 0,1, \dots, \{u_ i\}^ n_{\ell = 0}\) form an extended Chebyshev system on \([a,b]\). We assume that \(u_ i(t) = \varphi_ i (t;a)\), \(i = 0,1,2, \dots\), where \[ \varphi_ 0 (t;x) = \begin{cases} 0 & a \leq t < x \\ w_ 0 ...
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Two monotonic functions involving gamma function and volume of unit ball
, 2010 In present paper, we prove the monotonicity of two functions involving the gamma function $\Gamma(x)$ and relating to the $n$-dimensional volume of the unit ball $\mathbb{B}^n$ in $\mathbb{R}^n$.Comment: 7 ...
Anderson G. D. +12 more
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