منابع مشابه
General Bahr-Esseen inequalities and their applications
We study the Bahr-Esseen inequality. We show that the Bahr-Esseen inequality holds with exponent p if it holds with exponent [Formula: see text] for the truncated and centered random variables. The Bahr-Esseen inequality is also true if the truncated random variables are acceptable. We then apply the results to obtain weak and strong laws of large numbers and complete convergence.
متن کاملErratum to: General Bahr-Esseen inequalities and their applications
*Correspondence: [email protected] Faculty of Informatics, University of Debrecen, P.O. Box 400, Debrecen, 4002, Hungary 1 Erratum In the publication of this article [], there were two errors. ) The error in Section . Exponential inequalities and their consequences: ‘(a)X(b) = –aI{X < a} +XIa≤ |X| ≤ b + bI{X > b}.’ Should instead read: ‘(a)X(b) = aI{X < a} +XIa≤ X ≤ b + bI{X > b}...
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Some new inequalities related to Jensen and Ostrowski inequalities for general Lebesgue integral are obtained. Applications for $f$-divergence measure are provided as well.
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In this paper, we shall establish some extended Simpson-type inequalities for differentiable convex functions and differentiable concave functions which are connected with Hermite-Hadamard inequality. Some error estimates for the midpoint, trapezoidal and Simpson formula are also given.
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We present a survey of our recent work on generalized triangle inequalities in infinitesimal symmetric spaces, nonpositively curved symmetric spaces and Euclidean buildings. We also explain how these results can be used to analyze some basic problems of algebraic group theory including the problem of decomposition of tensor products of irreducible representations of complex reductive Lie groups...
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2017
ISSN: 1029-242X
DOI: 10.1186/s13660-017-1468-y