Fractional Ostrowski type inequalities for bounded functions

Journal of inequalities and applications

article

Samet Erden¹  Hüseyin Budak²  Mehmet Zeki Sarikaya²  Sabah Iftikhar³  Poom Kumam³ 

[1] Department of Mathematics, Faculty of Science, Bartın University;Department of Mathematics, Faculty of Science and Arts, Düzce University;Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT);KMUTT Fixed Point Research Laboratory, KMUTT-Fixed Point Theory and Applications Research Group, SCL 802 Fixed Point Laboratory, Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT);Department of Medical Research, China Medical University Hospital, China Medical University

关键词: Bounded functions;    Fractional integrals;    Ostrowski type inequalities;    Midpoint type inequalities;   

DOI  :  10.1186/s13660-020-02381-1

学科分类：电力

来源: SpringerOpen

【 摘 要 】

We first establish some results involving Riemann–Liouville fractional integrals for partially differentiable functions. Then we obtain some fractional Ostrowski type inequalities for functions in class of functions $L_{p}$, $L_{\infty }$ and $L_{1}$, respectively. We also give some midpoint type inequalities as special cases of our main results.

【 授权许可】

CC BY