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

页数：11

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