Generalized Hadamard Fractional Integral Inequalities for Strongly s,m-Convex Functions
This article deals with Hadamard inequalities for strongly s,m-convex functions using generalized Riemann–Liouville fractional integrals. Several generalized fractional versions of the Hadamard inequality are presented; we also provide refinements of many known results which have been published in r...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6642289 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832550539947147264 |
|---|---|
| author | Chao Miao Ghulam Farid Hafsa Yasmeen Yanhua Bian |
| author_facet | Chao Miao Ghulam Farid Hafsa Yasmeen Yanhua Bian |
| author_sort | Chao Miao |
| collection | DOAJ |
| description | This article deals with Hadamard inequalities for strongly s,m-convex functions using generalized Riemann–Liouville fractional integrals. Several generalized fractional versions of the Hadamard inequality are presented; we also provide refinements of many known results which have been published in recent years. |
| format | Article |
| id | doaj-art-273cf80e411843a7b7c94a5b50601c6f |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-273cf80e411843a7b7c94a5b50601c6f2025-02-03T06:06:28ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66422896642289Generalized Hadamard Fractional Integral Inequalities for Strongly s,m-Convex FunctionsChao Miao0Ghulam Farid1Hafsa Yasmeen2Yanhua Bian3Public Education Department, Xuchang Electrical Vocational College, Xuchang 461000, ChinaDepartment of Mathematics, COMSATS University Islamabad, Attock Campus, Attock, PakistanDepartment of Mathematics, COMSATS University Islamabad, Attock Campus, Attock, PakistanPublic Education Department, Xuchang Electrical Vocational College, Xuchang 461000, ChinaThis article deals with Hadamard inequalities for strongly s,m-convex functions using generalized Riemann–Liouville fractional integrals. Several generalized fractional versions of the Hadamard inequality are presented; we also provide refinements of many known results which have been published in recent years.http://dx.doi.org/10.1155/2021/6642289 |
| spellingShingle | Chao Miao Ghulam Farid Hafsa Yasmeen Yanhua Bian Generalized Hadamard Fractional Integral Inequalities for Strongly s,m-Convex Functions Journal of Mathematics |
| title | Generalized Hadamard Fractional Integral Inequalities for Strongly s,m-Convex Functions |
| title_full | Generalized Hadamard Fractional Integral Inequalities for Strongly s,m-Convex Functions |
| title_fullStr | Generalized Hadamard Fractional Integral Inequalities for Strongly s,m-Convex Functions |
| title_full_unstemmed | Generalized Hadamard Fractional Integral Inequalities for Strongly s,m-Convex Functions |
| title_short | Generalized Hadamard Fractional Integral Inequalities for Strongly s,m-Convex Functions |
| title_sort | generalized hadamard fractional integral inequalities for strongly s m convex functions |
| url | http://dx.doi.org/10.1155/2021/6642289 |
| work_keys_str_mv | AT chaomiao generalizedhadamardfractionalintegralinequalitiesforstronglysmconvexfunctions AT ghulamfarid generalizedhadamardfractionalintegralinequalitiesforstronglysmconvexfunctions AT hafsayasmeen generalizedhadamardfractionalintegralinequalitiesforstronglysmconvexfunctions AT yanhuabian generalizedhadamardfractionalintegralinequalitiesforstronglysmconvexfunctions |