Weighted fractional inequalities for new conditions on h-convex functions

被引:3
|
作者
Benaissa, Bouharket [1 ]
Azzouz, Noureddine [2 ,3 ]
Budak, Huseyin [4 ]
机构
[1] Univ Tiaret, Fac Mat Sci, Lab Informat & Math, Tiaret, Algeria
[2] Univ Ctr Nour Bachir, Fac Sci, El Bayadh, Algeria
[3] Univ Belhadj Bouchaib, Ain Temouchent, Algeria
[4] Duzce Univ, Fac Sci & Arts, Dept Math, TR-81620 Duzce, Turkiye
来源
BOUNDARY VALUE PROBLEMS | 2024年 / 2024卷 / 01期
关键词
Fractional conformable integrals; Fractional conformable derivative; Hermite-Hadamard inequality; HERMITE-HADAMARD; INTEGRALS;
D O I
10.1186/s13661-024-01889-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We use a new function class called B-function to establish a novel version of Hermite-Hadamard inequality for weighted psi-Hilfer operators. Additionally, we prove two new identities involving weighted psi-Hilfer operators for differentiable functions. Moreover, by employing these equalities and the properties of the B-function, we derive several trapezoid- and midpoint-type inequalities for h-convex functions. Furthermore, the obtained results are reduced to several well-known and some new inequalities by making specific choices of the function h.
引用
收藏
页数:18
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