Chebyshev Type Integral Inequalities Involving the Fractional Hypergeometric Operators
By making use of the fractional hypergeometric operators, we establish certain new fractional integral inequalities for synchronous functions which are related to the weighted version of the Chebyshev functional. Some consequent results and special cases of the main results are also pointed out.
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| Main Authors: | , |
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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/10.1155/2014/609160 |
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| _version_ | 1850165668931960832 |
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| author | D. Baleanu S. D. Purohit |
| author_facet | D. Baleanu S. D. Purohit |
| author_sort | D. Baleanu |
| collection | DOAJ |
| description | By making use of the fractional hypergeometric operators, we establish certain new fractional integral inequalities for synchronous functions which are related to the weighted version of the Chebyshev functional. Some consequent results and special cases of the main results are also pointed out. |
| format | Article |
| id | doaj-art-ee70a0fbf4aa446c848c3382a600a08f |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ee70a0fbf4aa446c848c3382a600a08f2025-08-20T02:21:41ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/609160609160Chebyshev Type Integral Inequalities Involving the Fractional Hypergeometric OperatorsD. Baleanu0S. D. Purohit1Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi ArabiaDepartment of Basic Sciences (Mathematics), College of Technology and Engineering, M.P. University of Agriculture and Technology, Udaipur 313001, IndiaBy making use of the fractional hypergeometric operators, we establish certain new fractional integral inequalities for synchronous functions which are related to the weighted version of the Chebyshev functional. Some consequent results and special cases of the main results are also pointed out.http://dx.doi.org/10.1155/2014/609160 |
| spellingShingle | D. Baleanu S. D. Purohit Chebyshev Type Integral Inequalities Involving the Fractional Hypergeometric Operators Abstract and Applied Analysis |
| title | Chebyshev Type Integral Inequalities Involving the Fractional Hypergeometric Operators |
| title_full | Chebyshev Type Integral Inequalities Involving the Fractional Hypergeometric Operators |
| title_fullStr | Chebyshev Type Integral Inequalities Involving the Fractional Hypergeometric Operators |
| title_full_unstemmed | Chebyshev Type Integral Inequalities Involving the Fractional Hypergeometric Operators |
| title_short | Chebyshev Type Integral Inequalities Involving the Fractional Hypergeometric Operators |
| title_sort | chebyshev type integral inequalities involving the fractional hypergeometric operators |
| url | http://dx.doi.org/10.1155/2014/609160 |
| work_keys_str_mv | AT dbaleanu chebyshevtypeintegralinequalitiesinvolvingthefractionalhypergeometricoperators AT sdpurohit chebyshevtypeintegralinequalitiesinvolvingthefractionalhypergeometricoperators |