An Interchangeable Theorem of q-Integral

We give a sufficient condition for the interchangeability of the order of sum and q-integral by using inequality technique. As the application of the theorem, some interesting results on the hypergeometric series are obtained.

Bibliographic Details
Format: Article
Language:English
Published: SpringerOpen 2009-02-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2009/135693
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spelling doaj-5f9376e3268e4ce481ecf6eb09334bff2020-11-24T21:35:38ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2009-02-01200910.1155/2009/135693An Interchangeable Theorem of q-IntegralWe give a sufficient condition for the interchangeability of the order of sum and q-integral by using inequality technique. As the application of the theorem, some interesting results on the hypergeometric series are obtained. http://dx.doi.org/10.1155/2009/135693
collection DOAJ
language English
format Article
sources DOAJ
title An Interchangeable Theorem of q-Integral
spellingShingle An Interchangeable Theorem of q-Integral
Journal of Inequalities and Applications
title_short An Interchangeable Theorem of q-Integral
title_full An Interchangeable Theorem of q-Integral
title_fullStr An Interchangeable Theorem of q-Integral
title_full_unstemmed An Interchangeable Theorem of q-Integral
title_sort interchangeable theorem of q-integral
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2009-02-01
description We give a sufficient condition for the interchangeability of the order of sum and q-integral by using inequality technique. As the application of the theorem, some interesting results on the hypergeometric series are obtained.
url http://dx.doi.org/10.1155/2009/135693
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