Journal of Inequalities and Applications | |
Some results on integral inequalities via Riemann–Liouville fractional integrals | |
Shahid Qaisar1  Jamshed Nasir1  Saad Ihsan Butt1  Shan E Farooq2  Mehwish Bari3  Xiaoling Li4  Farooq Ahmad5  | |
[1] Department of Mathematics, COMSATS University Islamabad;Department of Mathematics, GC University;Department of Mathematics, NCBA&E;School of Information Science and Engineering, Chengdu University;School of Mechanical and Aerospace Engineering, NANYANG Technological University; | |
关键词: Simpson’s inequality; Convex functions; Power-mean inequality; Riemann–Liouville fractional integral; | |
DOI : 10.1186/s13660-019-2160-1 | |
来源: DOAJ |
【 摘 要 】
Abstract In current continuation, we have incorporated the notion of s−(α,m) $s- ( {\alpha,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) $s- ( {\alpha,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.
【 授权许可】
Unknown