Fractional Ostrowski type inequalities for bounded functions

被引：8
|
作者：
Erden, Samet [1 ]
Budak, Huseyin [2 ]
Zeki Sarikaya, Mehmet [2 ]
Iftikhar, Sabah [3 ]
Kumam, Poom [3 ,4 ,5 ]
机构：
[1] Bartin Univ, Dept Math, Fac Sci, Bartin, Turkey
[2] Duzce Univ, Fac Sci & Arts, Dept Math, Duzce, Turkey
[3] King Mongkuts Univ Technol Thonburi KMUTT, Ctr Excellence Theoret & Computat Sci TaCS CoE, Fac Sci, Sci Lab Bldg, Bangkok, Thailand
[4] King Mongkuts Univ Technol Thonburi KMUTT, KMUTT Fixed Point Res Lab, KMUTT Fixed Point Theory & Applicat Res Grp, Dept Math,Fac Sci,SCL Fixed Point Lab 802, Bangkok, Thailand
[5] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2020年 / 2020卷 / 01期
关键词：
Bounded functions; Fractional integrals; Ostrowski type inequalities; Midpoint type inequalities;
D O I：
10.1186/s13660-020-02381-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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 Lp, L-infinity and L-1, respectively. We also give some midpoint type inequalities as special cases of our main results.
引用
收藏
页数：11
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