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

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

<p/> <p>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 r...

Full description

Bibliographic Details
Main Authors: Gy&#337;ri Istv&#225;n, Horv&#225;th L&#225;szl&#243;
Format: Article
Language:English
Published: SpringerOpen 2008-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2008/748929
id doaj-600d5e7d56714954a03740251959fdbc
record_format Article
spelling doaj-600d5e7d56714954a03740251959fdbc2020-11-25T00:20:32ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2008-01-0120081748929New Limit Formulas for the Convolution of a Function with a Measure and Their ApplicationsGy&#337;ri Istv&#225;nHorv&#225;th L&#225;szl&#243;<p/> <p>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.</p>http://www.journalofinequalitiesandapplications.com/content/2008/748929
collection DOAJ
language English
format Article
sources DOAJ
author Gy&#337;ri Istv&#225;n
Horv&#225;th L&#225;szl&#243;
spellingShingle Gy&#337;ri Istv&#225;n
Horv&#225;th L&#225;szl&#243;
New Limit Formulas for the Convolution of a Function with a Measure and Their Applications
Journal of Inequalities and Applications
author_facet Gy&#337;ri Istv&#225;n
Horv&#225;th L&#225;szl&#243;
author_sort Gy&#337;ri Istv&#225;n
title New Limit Formulas for the Convolution of a Function with a Measure and Their Applications
title_short New Limit Formulas for the Convolution of a Function with a Measure and Their Applications
title_full New Limit Formulas for the Convolution of a Function with a Measure and Their Applications
title_fullStr New Limit Formulas for the Convolution of a Function with a Measure and Their Applications
title_full_unstemmed New Limit Formulas for the Convolution of a Function with a Measure and Their Applications
title_sort new limit formulas for the convolution of a function with a measure and their applications
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2008-01-01
description <p/> <p>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.</p>
url http://www.journalofinequalitiesandapplications.com/content/2008/748929
work_keys_str_mv AT gy337riistv225n newlimitformulasfortheconvolutionofafunctionwithameasureandtheirapplications
AT horv225thl225szl243 newlimitformulasfortheconvolutionofafunctionwithameasureandtheirapplications
_version_ 1725366925615169536

Similar Items