Further Midpoint Inequalities via Generalized Fractional Operators in Riemann-Liouville Sense

被引：10

作者：

Hyder, Abd-Allah ^{[1
,2
]}

Budak, Huseyin ^{[3
]}

Almoneef, Areej A. ^{[4
]}

机构：

[1] King Khalid Univ, Coll Sci, Dept Math, POB 9004, Abha 61413, Saudi Arabia

[2] Al Azhar Univ, Fac Engn, Dept Engn Math & Phys, Cairo 71524, Egypt

[3] Duzce Univ, Fac Sci & Arts, Dept Math, TR-81620 Duzce, Turkey

[4] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia

来源：

FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 09期

关键词：

generalized fractional operators; midpoint inequalities; Hermite-Hadamard inequality; HERMITE-HADAMARD-TYPE;

D O I：

10.3390/fractalfract6090496

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, new midpoint-type inequalities are given through recently generalized Riemann-Liouville fractional integrals. Foremost, we present an identity for a class of differentiable functions including the proposed fractional integrals. Then, several midpoint-type inequalities containing generalized Riemann-Liouville fractional integrals are proved by employing the features of convex and concave functions. Furthermore, all obtained results in this study can be compared to previously published results.

引用

页数：13

共 38 条

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