Fractional Simpson like type inequalities for differentiable s-convex functions

被引：5

作者：

Kamouche, N. ^{[1
]}

Ghomrani, S. ^{[2
]}

Meftah, B. ^{[3
]}

机构：

[1] Univ Badji Mokhtar Annaba, Fac Sci, Dept Math, Annaba, Algeria

[2] Ecole Normale Super Setif Messaoud Zeggar, Dept Sci, Setif, Algeria

[3] Univ 8 Mai 1945 Guelma, Fac Math Informat & Sci Mat, Dept Math, Guelma, Algeria

来源：

JOURNAL OF APPLIED MATHEMATICS STATISTICS AND INFORMATICS | 2022年 / 18卷 / 01期

关键词：

Simpson like inequality; s-convex functions; Holderian functions; bounded functions; (ALPHA;

D O I：

10.2478/jamsi-2022-0006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, based on new identity we establish some new Simpson like type inequalities for functions whose first derivatives are s-convex via Riemann-Liouville fractional integrals. The case where the derivatives are bounded as well as the case where the derivatives satisfy the Holder condition are also discussed. The obtained results extend some known results and refine another one. Applications of the results are given at the end.

引用

页码：73 / 91

页数：19

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