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.
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页数：13
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