Certain Inequalities Involving the Fractional q-Integral Operators
We establish some inequalities involving Saigo fractional q-integral operator in the theory of quantum calculus by using the two parameters of deformation, q1 and q2, whose special cases are shown to yield corresponding inequalities associated with Riemann-Liouville and Kober fractional q-integral o...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/371274 |
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| _version_ | 1849309145464832000 |
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| author | Dumitru Baleanu Praveen Agarwal |
| author_facet | Dumitru Baleanu Praveen Agarwal |
| author_sort | Dumitru Baleanu |
| collection | DOAJ |
| description | We establish some inequalities involving Saigo fractional q-integral operator in the theory of quantum calculus by using the two parameters of deformation, q1 and q2, whose special cases are shown to yield corresponding inequalities associated with Riemann-Liouville and Kober fractional q-integral operators, respectively. Furthermore, we also consider their relevance with other related known results. |
| format | Article |
| id | doaj-art-0d3a18f8470a413f8eb831fdc517db93 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-0d3a18f8470a413f8eb831fdc517db932025-08-20T03:54:15ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/371274371274Certain Inequalities Involving the Fractional q-Integral OperatorsDumitru Baleanu0Praveen Agarwal1Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Anand International College of Engineering, Jaipur 303012, IndiaWe establish some inequalities involving Saigo fractional q-integral operator in the theory of quantum calculus by using the two parameters of deformation, q1 and q2, whose special cases are shown to yield corresponding inequalities associated with Riemann-Liouville and Kober fractional q-integral operators, respectively. Furthermore, we also consider their relevance with other related known results.http://dx.doi.org/10.1155/2014/371274 |
| spellingShingle | Dumitru Baleanu Praveen Agarwal Certain Inequalities Involving the Fractional q-Integral Operators Abstract and Applied Analysis |
| title | Certain Inequalities Involving the Fractional q-Integral Operators |
| title_full | Certain Inequalities Involving the Fractional q-Integral Operators |
| title_fullStr | Certain Inequalities Involving the Fractional q-Integral Operators |
| title_full_unstemmed | Certain Inequalities Involving the Fractional q-Integral Operators |
| title_short | Certain Inequalities Involving the Fractional q-Integral Operators |
| title_sort | certain inequalities involving the fractional q integral operators |
| url | http://dx.doi.org/10.1155/2014/371274 |
| work_keys_str_mv | AT dumitrubaleanu certaininequalitiesinvolvingthefractionalqintegraloperators AT praveenagarwal certaininequalitiesinvolvingthefractionalqintegraloperators |