Some results on integral inequalities via Riemann–Liouville fractional integrals

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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Bibliographic Details
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
Subjects:
Simpson’s Inequality
Convex Functions
Engineering::Mechanical engineering
Online Access:https://hdl.handle.net/10356/93523
http://hdl.handle.net/10220/49940
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Institution: Nanyang Technological University
Language: English
Description
Summary: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.

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