Some new fractional integral inequalities for generalized relative semi-m-(r; h1, h2)-preinvex mappings via generalized Mittag-Leffler function
The authors discover a new identity concerning differentiable mappings defined on m-invex set via fractional integrals. By using the obtained identity as an auxiliary result, some fractional integral inequalities for generalized relative semi- m-(r;h1,h2)-preinvex mappings by involving generalized M...
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| Format: | Article |
| Language: | English |
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Emerald Publishing
2020-08-01
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| Series: | Arab Journal of Mathematical Sciences |
| Subjects: | |
| Online Access: | https://www.emerald.com/insight/content/doi/10.1016/j.ajmsc.2018.12.003/full/pdf |
| _version_ | 1797791578306117632 |
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| author | Artion Kashuri Rozana Liko |
| author_facet | Artion Kashuri Rozana Liko |
| author_sort | Artion Kashuri |
| collection | DOAJ |
| description | The authors discover a new identity concerning differentiable mappings defined on m-invex set via fractional integrals. By using the obtained identity as an auxiliary result, some fractional integral inequalities for generalized relative semi- m-(r;h1,h2)-preinvex mappings by involving generalized Mittag-Leffler function are presented. It is pointed out that some new special cases can be deduced from main results of the paper. Also these inequalities have some connections with known integral inequalities. At the end, some applications to special means for different positive real numbers are provided as well. |
| first_indexed | 2024-03-13T02:20:51Z |
| format | Article |
| id | doaj.art-4aa9437da0414941bb5d98cda8cfbb3f |
| institution | Directory Open Access Journal |
| issn | 1319-5166 2588-9214 |
| language | English |
| last_indexed | 2024-03-13T02:20:51Z |
| publishDate | 2020-08-01 |
| publisher | Emerald Publishing |
| record_format | Article |
| series | Arab Journal of Mathematical Sciences |
| spelling | doaj.art-4aa9437da0414941bb5d98cda8cfbb3f2023-06-30T09:27:54ZengEmerald PublishingArab Journal of Mathematical Sciences1319-51662588-92142020-08-01261/2415510.1016/j.ajmsc.2018.12.003Some new fractional integral inequalities for generalized relative semi-m-(r; h1, h2)-preinvex mappings via generalized Mittag-Leffler functionArtion Kashuri0Rozana Liko1Department of Mathematics, Faculty of Technical Science, University Ismail Qemali, Vlora, AlbaniaDepartment of Mathematics, Faculty of Technical Science, University Ismail Qemali, Vlora, AlbaniaThe authors discover a new identity concerning differentiable mappings defined on m-invex set via fractional integrals. By using the obtained identity as an auxiliary result, some fractional integral inequalities for generalized relative semi- m-(r;h1,h2)-preinvex mappings by involving generalized Mittag-Leffler function are presented. It is pointed out that some new special cases can be deduced from main results of the paper. Also these inequalities have some connections with known integral inequalities. At the end, some applications to special means for different positive real numbers are provided as well.https://www.emerald.com/insight/content/doi/10.1016/j.ajmsc.2018.12.003/full/pdfHermite–Hadamard inequalityHölder’s inequalityMinkowski inequalityPower mean inequalityGeneralized Mittag-Leffler functionFractional integrals, m |
| spellingShingle | Artion Kashuri Rozana Liko Some new fractional integral inequalities for generalized relative semi-m-(r; h1, h2)-preinvex mappings via generalized Mittag-Leffler function Arab Journal of Mathematical Sciences Hermite–Hadamard inequality Hölder’s inequality Minkowski inequality Power mean inequality Generalized Mittag-Leffler function Fractional integrals, m |
| title | Some new fractional integral inequalities for generalized relative semi-m-(r; h1, h2)-preinvex mappings via generalized Mittag-Leffler function |
| title_full | Some new fractional integral inequalities for generalized relative semi-m-(r; h1, h2)-preinvex mappings via generalized Mittag-Leffler function |
| title_fullStr | Some new fractional integral inequalities for generalized relative semi-m-(r; h1, h2)-preinvex mappings via generalized Mittag-Leffler function |
| title_full_unstemmed | Some new fractional integral inequalities for generalized relative semi-m-(r; h1, h2)-preinvex mappings via generalized Mittag-Leffler function |
| title_short | Some new fractional integral inequalities for generalized relative semi-m-(r; h1, h2)-preinvex mappings via generalized Mittag-Leffler function |
| title_sort | some new fractional integral inequalities for generalized relative semi m r h1 h2 preinvex mappings via generalized mittag leffler function |
| topic | Hermite–Hadamard inequality Hölder’s inequality Minkowski inequality Power mean inequality Generalized Mittag-Leffler function Fractional integrals, m |
| url | https://www.emerald.com/insight/content/doi/10.1016/j.ajmsc.2018.12.003/full/pdf |
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