New Limit Formulas for the Convolution of a Function with a Measure and Their Applications

被引：0
作者：
István Győri
László Horváth
机构：
[1] University of Pannonia,Department of Mathematics and Computing
来源：
Journal of Inequalities and Applications | / 2008卷
关键词：
Weight Function; Asymptotic Theory; Beta Function; Middle Term; Subexponential Distribution;
D O I：
暂无
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摘要：
Asymptotic behavior of a convolution of a function with a measure is investigated. Our results give conditions which ensure that the exact rate of the convolution function can be determined using a positive weight function related to the given function and measure. Many earlier related results are included and generalized. Our new limit formulas are applicable to subexponential functions, to tail equivalent distributions, and to polynomial-type convolutions, among others.
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