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...

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Main Authors: Li, Xiaoling, Shahid Qaisar, Jamshed Nasir, Saad Ihsan Butt, Farooq Ahmad, Mehwish Bari, Shan E Farooq
Other Authors: School of Mechanical and Aerospace Engineering
Format: Article
Language:English
Published: 2019
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Online Access:https://hdl.handle.net/10356/93523
http://hdl.handle.net/10220/49940
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.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
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Simpson’s Inequality
Convex Functions
Engineering::Mechanical engineering
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
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.
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
format Article
author Li, Xiaoling
Shahid Qaisar
Jamshed Nasir
Saad Ihsan Butt
Farooq Ahmad
Mehwish Bari
Shan E Farooq
author_sort Li, Xiaoling
title Some results on integral inequalities via Riemann–Liouville fractional integrals
title_short 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_sort some results on integral inequalities via riemann–liouville fractional integrals
publishDate 2019
url https://hdl.handle.net/10356/93523
http://hdl.handle.net/10220/49940
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