Hermite-Hadamard-type inequalities for interval-valued preinvex functions via Riemann-Liouville fractional integrals

被引：40
|
作者：
Sharma, Nidhi [1 ]
Singh, Sanjeev Kumar [1 ]
Mishra, Shashi Kant [1 ]
Hamdi, Abdelouahed [2 ]
机构：
[1] Banaras Hindu Univ, Inst Sci, Dept Math, Varanasi 221005, Uttar Pradesh, India
[2] Qatar Univ, Coll Arts & Sci, Dept Math Stat & Phys, POB 2713, Doha, Qatar
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2021年 / 2021卷 / 01期
关键词：
Invex sets; Preinvex functions; Interval-valued functions; Hermite-Hadamard inequalities; Fractional integrals;
D O I：
10.1186/s13660-021-02623-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce (h(1),h(2))-preinvex interval-valued function and establish the Hermite-Hadamard inequality for preinvex interval-valued functions by using interval-valued Riemann-Liouville fractional integrals. We obtain Hermite-Hadamard-type inequalities for the product of two interval-valued functions. Further, some examples are given to confirm our theoretical results.
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收藏
页数：15
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