On refinements of Hermite-Hadamard type inequalities for Riemann-Liouville fractional integral operators
In this paper, we first establish weighted versions of Hermite-Hadamard type inequalities for Riemann-Liouville fractional integral operators utilizing weighted function. Then we obtain some refinements of these inequalities. The results obtained in this study would provide generalization of inequal...
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| Format: | Article |
| Language: | English |
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Balikesir University
2019-01-01
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| Series: | An International Journal of Optimization and Control: Theories & Applications |
| Subjects: | |
| Online Access: | http://www.ijocta.org/index.php/files/article/view/585 |
| _version_ | 1828028325288738816 |
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| author | Hüseyin Budak |
| author_facet | Hüseyin Budak |
| author_sort | Hüseyin Budak |
| collection | DOAJ |
| description | In this paper, we first establish weighted versions of Hermite-Hadamard type
inequalities for Riemann-Liouville fractional integral operators utilizing
weighted function. Then we obtain some refinements of these inequalities. The
results obtained in this study would provide generalization of inequalities
proved in earlier works. |
| first_indexed | 2024-04-10T13:51:33Z |
| format | Article |
| id | doaj.art-ea75174fa7a54ed0b24a4695933810f8 |
| institution | Directory Open Access Journal |
| issn | 2146-0957 2146-5703 |
| language | English |
| last_indexed | 2024-04-10T13:51:33Z |
| publishDate | 2019-01-01 |
| publisher | Balikesir University |
| record_format | Article |
| series | An International Journal of Optimization and Control: Theories & Applications |
| spelling | doaj.art-ea75174fa7a54ed0b24a4695933810f82023-02-15T16:10:42ZengBalikesir UniversityAn International Journal of Optimization and Control: Theories & Applications2146-09572146-57032019-01-019110.11121/ijocta.01.2019.00585On refinements of Hermite-Hadamard type inequalities for Riemann-Liouville fractional integral operatorsHüseyin BudakIn this paper, we first establish weighted versions of Hermite-Hadamard type inequalities for Riemann-Liouville fractional integral operators utilizing weighted function. Then we obtain some refinements of these inequalities. The results obtained in this study would provide generalization of inequalities proved in earlier works.http://www.ijocta.org/index.php/files/article/view/585Hermite-Hadamard inequalityfractional integral operatorsconvex function. |
| spellingShingle | Hüseyin Budak On refinements of Hermite-Hadamard type inequalities for Riemann-Liouville fractional integral operators An International Journal of Optimization and Control: Theories & Applications Hermite-Hadamard inequality fractional integral operators convex function. |
| title | On refinements of Hermite-Hadamard type inequalities for Riemann-Liouville fractional integral operators |
| title_full | On refinements of Hermite-Hadamard type inequalities for Riemann-Liouville fractional integral operators |
| title_fullStr | On refinements of Hermite-Hadamard type inequalities for Riemann-Liouville fractional integral operators |
| title_full_unstemmed | On refinements of Hermite-Hadamard type inequalities for Riemann-Liouville fractional integral operators |
| title_short | On refinements of Hermite-Hadamard type inequalities for Riemann-Liouville fractional integral operators |
| title_sort | on refinements of hermite hadamard type inequalities for riemann liouville fractional integral operators |
| topic | Hermite-Hadamard inequality fractional integral operators convex function. |
| url | http://www.ijocta.org/index.php/files/article/view/585 |
| work_keys_str_mv | AT huseyinbudak onrefinementsofhermitehadamardtypeinequalitiesforriemannliouvillefractionalintegraloperators |