Weighted Hermite-Hadamard inequalities for r-times differentiable preinvex functions for k-fractional integrals

被引：5
|
作者：
Zafar, Fiza [1 ]
Mehmood, Sikander [2 ]
Asiri, Asim [3 ]
机构：
[1] Bahauddin Zakariya Univ, Ctr Adv Studies Pure & Appl Math, Multan 60800, Pakistan
[2] Govt Grad Coll Sahiwal, Sahiwal, Pakistan
[3] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
来源：
DEMONSTRATIO MATHEMATICA | 2023年 / 56卷 / 01期
关键词：
Hermite-Hadamard-Fejer inequality; k-fractional integral; Preinvex function; r-times differentiable function; CONVEX;
D O I：
10.1515/dema-2022-0254
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we have established some new bounds of Fejer-type Hermite-Hadamard inequality for k-fractional integrals involving r-times differentiable preinvex functions. It is noteworthy that in the past, there was no weighted version of the left and right sides of the Hermite-Hadamard inequality for k-fractional integrals for generalized convex functions available in the literature.
引用
收藏
页数：17
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