Certain Inequalities Involving Generalized Erdélyi-Kober Fractional q-Integral Operators

In recent years, a remarkably large number of inequalities involving the fractional q-integral operators have been investigated in the literature by many authors. Here, we aim to present some new fractional integral inequalities involving generalized Erdélyi-Kober fractional q-integral operator due...

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Autores principales: Agarwal, Praveen, Salahshour, Soheil, Ntouyas, Sotiris K., Tariboon, Jessada
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4177081/
https://www.ncbi.nlm.nih.gov/pubmed/25295293
http://dx.doi.org/10.1155/2014/174126
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author Agarwal, Praveen
Salahshour, Soheil
Ntouyas, Sotiris K.
Tariboon, Jessada
author_facet Agarwal, Praveen
Salahshour, Soheil
Ntouyas, Sotiris K.
Tariboon, Jessada
author_sort Agarwal, Praveen
collection PubMed
description In recent years, a remarkably large number of inequalities involving the fractional q-integral operators have been investigated in the literature by many authors. Here, we aim to present some new fractional integral inequalities involving generalized Erdélyi-Kober fractional q-integral operator due to Gaulué, whose special cases are shown to yield corresponding inequalities associated with Kober type fractional q-integral operators. The cases of synchronous functions as well as of functions bounded by integrable functions are considered.
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spelling pubmed-41770812014-10-07 Certain Inequalities Involving Generalized Erdélyi-Kober Fractional q-Integral Operators Agarwal, Praveen Salahshour, Soheil Ntouyas, Sotiris K. Tariboon, Jessada ScientificWorldJournal Research Article In recent years, a remarkably large number of inequalities involving the fractional q-integral operators have been investigated in the literature by many authors. Here, we aim to present some new fractional integral inequalities involving generalized Erdélyi-Kober fractional q-integral operator due to Gaulué, whose special cases are shown to yield corresponding inequalities associated with Kober type fractional q-integral operators. The cases of synchronous functions as well as of functions bounded by integrable functions are considered. Hindawi Publishing Corporation 2014 2014-09-11 /pmc/articles/PMC4177081/ /pubmed/25295293 http://dx.doi.org/10.1155/2014/174126 Text en Copyright © 2014 Praveen Agarwal et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Agarwal, Praveen
Salahshour, Soheil
Ntouyas, Sotiris K.
Tariboon, Jessada
Certain Inequalities Involving Generalized Erdélyi-Kober Fractional q-Integral Operators
title Certain Inequalities Involving Generalized Erdélyi-Kober Fractional q-Integral Operators
title_full Certain Inequalities Involving Generalized Erdélyi-Kober Fractional q-Integral Operators
title_fullStr Certain Inequalities Involving Generalized Erdélyi-Kober Fractional q-Integral Operators
title_full_unstemmed Certain Inequalities Involving Generalized Erdélyi-Kober Fractional q-Integral Operators
title_short Certain Inequalities Involving Generalized Erdélyi-Kober Fractional q-Integral Operators
title_sort certain inequalities involving generalized erdélyi-kober fractional q-integral operators
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4177081/
https://www.ncbi.nlm.nih.gov/pubmed/25295293
http://dx.doi.org/10.1155/2014/174126
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