On the Supremum of Some Random Dirichlet Polynomials [PDF]
Acta Math.Hung. 2009, v.123, No 1-2, 41-64, 2008 We study the supremum of some random Dirichlet polynomials with independent coefficients and obtain sharp upper and lower bounds for supremum expectation thus extending the results from our previous work (see http://arXiv.org/abs/math/0703691). Our approach in proving these results is entirely based on methods of stochastic processes, in particular the
arxiv
Sharpening and generalizations of Carlson's double inequality for the arc cosine function [PDF]
Jiao-Lian Zhao, Chun-Fu Wei, Bai-Ni Guo, and Feng Qi, Sharpening
and generalizations of Carlson's double inequality for the arc cosine
function, Hacettepe Journal of Mathematics and Statistics 41 (2012), no. 2,
201--209, 2009 In this paper, we sharpen and generalize Carlson's double inequality for the arc cosine function.
arxiv
Sharpening and generalizations of Carlson's inequality for the arc cosine function [PDF]
Bai-Ni Guo and Feng Qi, Sharpening and generalizations of
Carlson's inequality for the arc cosine function, Hacettepe Journal of
Mathematics and Statistics 39 (2010), no. 3, 403--409, 2009 In this paper, we sharpen and generalize Carlson's double inequality for the arc cosine function.
arxiv
Supremum of Random Dirichlet Polynomials with Sub-multiplicative Coefficients [PDF]
Unif. Distrib. Theory 5 (2010), no. 1, 163--197, 2009 We study the supremum of random Dirichlet polynomials $D_N(t)=\sum_{n=1}^N\varepsilon_n d(n) n^{- s}$, where $(\varepsilon_n)$ is a sequence of independent Rademacher random variables, and $ d $ is a sub-multiplicative function. The approach is gaussian and entirely based on comparison properties of Gaussian processes, with no use of the metric ...
arxiv
Discrete analogues of the Laguerre inequalities and a conjecture of I. Krasikov [PDF]
arXiv, 2010 A conjecture of I. Krasikov is proved. Several discrete analogues of classical polynomial inequalities are derived, along with results which allow extensions to a class of transcendental entire functions in the Laguerre-P\'olya class.
arxiv
New approximation inequalities for circular functions. [PDF]
J Inequal Appl, 2018 Zhu L, Nenezić M.
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About some exponential inequalities related to the sinc function. [PDF]
J Inequal Appl, 2018 Rašajski M, Lutovac T, Malešević B.
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Refinements and generalizations of some inequalities of Shafer-Fink's type for the inverse sine function. [PDF]
J Inequal Appl, 2017 Malešević B, Rašajski M, Lutovac T.
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Approximations to inverse tangent function. [PDF]
J Inequal Appl, 2018 Qiao QX, Chen CP.
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Minkowski’s inequality and sums of squares
Open Mathematics, 2014 Frenkel Péter, Horváth Péter
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