Some results on integral inequalities via Riemann–Liouville fractional integrals
In current continuation, we have incorporated the notion of s – (α,m)-convex functions and have established new integral inequalities. In order to generalize Hermite–Hadamard-type inequalities, some new integral inequalities of Hermite–Hadamard and Simpson type using s – (α,m)-convex function via Ri...
| Main Authors: | , , , , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2019
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| Online Access: | https://hdl.handle.net/10356/93523 http://hdl.handle.net/10220/49940 |
| _version_ | 1826129500203646976 |
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| author | Li, Xiaoling Shahid Qaisar Jamshed Nasir Saad Ihsan Butt Farooq Ahmad Mehwish Bari Shan E Farooq |
| author2 | School of Mechanical and Aerospace Engineering |
| author_facet | School of Mechanical and Aerospace Engineering Li, Xiaoling Shahid Qaisar Jamshed Nasir Saad Ihsan Butt Farooq Ahmad Mehwish Bari Shan E Farooq |
| author_sort | Li, Xiaoling |
| collection | NTU |
| description | In current continuation, we have incorporated the notion of s – (α,m)-convex functions and have established new integral inequalities. In order to generalize Hermite–Hadamard-type inequalities, some new integral inequalities of Hermite–Hadamard and Simpson type using s – (α,m)-convex function via Riemann–Liouville fractional integrals are obtained that reproduce the results presented by (Appl. Math. Lett. 11(5):91–95, 1998; Comput. Math. Appl. 47(2–3): 207–216, 2004; J. Inequal. Appl. 2013:158, 2013). Applications to special means are also provided. |
| first_indexed | 2024-10-01T07:41:37Z |
| format | Journal Article |
| id | ntu-10356/93523 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T07:41:37Z |
| publishDate | 2019 |
| record_format | dspace |
| spelling | ntu-10356/935232023-03-04T17:18:01Z Some results on integral inequalities via Riemann–Liouville fractional integrals Li, Xiaoling Shahid Qaisar Jamshed Nasir Saad Ihsan Butt Farooq Ahmad Mehwish Bari Shan E Farooq School of Mechanical and Aerospace Engineering Simpson’s Inequality Convex Functions Engineering::Mechanical engineering In current continuation, we have incorporated the notion of s – (α,m)-convex functions and have established new integral inequalities. In order to generalize Hermite–Hadamard-type inequalities, some new integral inequalities of Hermite–Hadamard and Simpson type using s – (α,m)-convex function via Riemann–Liouville fractional integrals are obtained that reproduce the results presented by (Appl. Math. Lett. 11(5):91–95, 1998; Comput. Math. Appl. 47(2–3): 207–216, 2004; J. Inequal. Appl. 2013:158, 2013). Applications to special means are also provided. Published version 2019-09-16T08:56:53Z 2019-12-06T18:40:49Z 2019-09-16T08:56:53Z 2019-12-06T18:40:49Z 2019 Journal Article Li, X., Shahid Qaisar, Jamshed Nasir, Saad Ihsan Butt, Farooq Ahmad, Mehwish Bari, & Shan E Farooq (2019). Some results on integral inequalities via Riemann–Liouville fractional integrals. Journal of Inequalities and Applications, 2019(1), 214-. doi:10.1186/s13660-019-2160-1 1025-5834 https://hdl.handle.net/10356/93523 http://hdl.handle.net/10220/49940 10.1186/s13660-019-2160-1 en Journal of Inequalities and Applications © 2019 The Author(s). This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. 11 p. application/pdf |
| spellingShingle | Simpson’s Inequality Convex Functions Engineering::Mechanical engineering Li, Xiaoling Shahid Qaisar Jamshed Nasir Saad Ihsan Butt Farooq Ahmad Mehwish Bari Shan E Farooq Some results on integral inequalities via Riemann–Liouville fractional integrals |
| title | Some results on integral inequalities via Riemann–Liouville fractional integrals |
| title_full | Some results on integral inequalities via Riemann–Liouville fractional integrals |
| title_fullStr | Some results on integral inequalities via Riemann–Liouville fractional integrals |
| title_full_unstemmed | Some results on integral inequalities via Riemann–Liouville fractional integrals |
| title_short | Some results on integral inequalities via Riemann–Liouville fractional integrals |
| title_sort | some results on integral inequalities via riemann liouville fractional integrals |
| topic | Simpson’s Inequality Convex Functions Engineering::Mechanical engineering |
| url | https://hdl.handle.net/10356/93523 http://hdl.handle.net/10220/49940 |
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