Modification of certain fractional integral inequalities for convex functions
Abstract We consider the modified Hermite–Hadamard inequality and related results on integral inequalities, in the context of fractional calculus using the Riemann–Liouville fractional integrals. Our results generalize and modify some existing results. Finally, some applications to special means of...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-02-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13662-020-2541-2 |
| _version_ | 1830139924609761280 |
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| author | Pshtiwan Othman Mohammed Thabet Abdeljawad |
| author_facet | Pshtiwan Othman Mohammed Thabet Abdeljawad |
| author_sort | Pshtiwan Othman Mohammed |
| collection | DOAJ |
| description | Abstract We consider the modified Hermite–Hadamard inequality and related results on integral inequalities, in the context of fractional calculus using the Riemann–Liouville fractional integrals. Our results generalize and modify some existing results. Finally, some applications to special means of real numbers are given. Moreover, some error estimates for the midpoint formula are pointed out. |
| first_indexed | 2024-12-17T08:52:55Z |
| format | Article |
| id | doaj.art-ab77559503304a5a990413d591626156 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-17T08:52:55Z |
| publishDate | 2020-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-ab77559503304a5a990413d5916261562022-12-21T21:56:01ZengSpringerOpenAdvances in Difference Equations1687-18472020-02-012020112210.1186/s13662-020-2541-2Modification of certain fractional integral inequalities for convex functionsPshtiwan Othman Mohammed0Thabet Abdeljawad1Department of Mathematics, College of Education, University of SulaimaniDepartment of Mathematics and General Sciences, Prince Sultan UniversityAbstract We consider the modified Hermite–Hadamard inequality and related results on integral inequalities, in the context of fractional calculus using the Riemann–Liouville fractional integrals. Our results generalize and modify some existing results. Finally, some applications to special means of real numbers are given. Moreover, some error estimates for the midpoint formula are pointed out.https://doi.org/10.1186/s13662-020-2541-2Riemann–Liouville fractional integralConvex functionHermite–Hadamard inequalitySpecial meansMidpoint formula |
| spellingShingle | Pshtiwan Othman Mohammed Thabet Abdeljawad Modification of certain fractional integral inequalities for convex functions Advances in Difference Equations Riemann–Liouville fractional integral Convex function Hermite–Hadamard inequality Special means Midpoint formula |
| title | Modification of certain fractional integral inequalities for convex functions |
| title_full | Modification of certain fractional integral inequalities for convex functions |
| title_fullStr | Modification of certain fractional integral inequalities for convex functions |
| title_full_unstemmed | Modification of certain fractional integral inequalities for convex functions |
| title_short | Modification of certain fractional integral inequalities for convex functions |
| title_sort | modification of certain fractional integral inequalities for convex functions |
| topic | Riemann–Liouville fractional integral Convex function Hermite–Hadamard inequality Special means Midpoint formula |
| url | https://doi.org/10.1186/s13662-020-2541-2 |
| work_keys_str_mv | AT pshtiwanothmanmohammed modificationofcertainfractionalintegralinequalitiesforconvexfunctions AT thabetabdeljawad modificationofcertainfractionalintegralinequalitiesforconvexfunctions |