Generalized Hölder’s and Minkowski’s Inequalities for Jackson’s q-Integral and Some Applications to the Incomplete q-Gamma Function

We establish some generalized Hölder’s and Minkowski’s inequalities for Jackson’s q-integral. As applications, we derive some inequalities involving the incomplete q-Gamma function.

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Main Author: Kwara Nantomah
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2017/9796873
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author Kwara Nantomah
author_facet Kwara Nantomah
author_sort Kwara Nantomah
collection DOAJ
description We establish some generalized Hölder’s and Minkowski’s inequalities for Jackson’s q-integral. As applications, we derive some inequalities involving the incomplete q-Gamma function.
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2017-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-a493fce9683647a88629e3d1f11221352025-02-03T01:23:06ZengWileyAbstract and Applied Analysis1085-33751687-04092017-01-01201710.1155/2017/97968739796873Generalized Hölder’s and Minkowski’s Inequalities for Jackson’s q-Integral and Some Applications to the Incomplete q-Gamma FunctionKwara Nantomah0Department of Mathematics, University for Development Studies, Navrongo Campus, P.O. Box 24, Navrongo, Upper East Region, GhanaWe establish some generalized Hölder’s and Minkowski’s inequalities for Jackson’s q-integral. As applications, we derive some inequalities involving the incomplete q-Gamma function.http://dx.doi.org/10.1155/2017/9796873
spellingShingle Kwara Nantomah
Generalized Hölder’s and Minkowski’s Inequalities for Jackson’s q-Integral and Some Applications to the Incomplete q-Gamma Function
Abstract and Applied Analysis
title Generalized Hölder’s and Minkowski’s Inequalities for Jackson’s q-Integral and Some Applications to the Incomplete q-Gamma Function
title_full Generalized Hölder’s and Minkowski’s Inequalities for Jackson’s q-Integral and Some Applications to the Incomplete q-Gamma Function
title_fullStr Generalized Hölder’s and Minkowski’s Inequalities for Jackson’s q-Integral and Some Applications to the Incomplete q-Gamma Function
title_full_unstemmed Generalized Hölder’s and Minkowski’s Inequalities for Jackson’s q-Integral and Some Applications to the Incomplete q-Gamma Function
title_short Generalized Hölder’s and Minkowski’s Inequalities for Jackson’s q-Integral and Some Applications to the Incomplete q-Gamma Function
title_sort generalized holder s and minkowski s inequalities for jackson s q integral and some applications to the incomplete q gamma function
url http://dx.doi.org/10.1155/2017/9796873
work_keys_str_mv AT kwaranantomah generalizedholdersandminkowskisinequalitiesforjacksonsqintegralandsomeapplicationstotheincompleteqgammafunction