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Title: Some results on integral inequalities via Riemann–Liouville fractional integrals
Authors: Li, Xiaoling
Shahid Qaisar
Jamshed Nasir
Saad Ihsan Butt
Farooq Ahmad
Mehwish Bari
Shan E Farooq
Keywords: Simpson’s Inequality
Convex Functions
Engineering::Mechanical engineering
Issue Date: 2019
Source: 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
Series/Report no.: Journal of Inequalities and Applications
Abstract: 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.
ISSN: 1025-5834
Rights: © 2019 The Author(s). This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, 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.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:MAE Journal Articles

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