Weighted Simpson-like type inequalities for quasi-convex functions

被引：0
|
作者：
Ayed, Hamida [1 ]
Meftah, Badreddine [1 ]
机构：
[1] Univ Badji Mokhtar Annaba, Lab Surfaces & Interfaces Couches Minces LECIMS, Annaba 23000, Annaba, Algeria
来源：
JOURNAL OF APPLIED ANALYSIS | 2023年 / 29卷 / 02期
关键词：
Simpson inequality; Holder inequality; quasi-convex functions; INTEGRAL-INEQUALITIES;
D O I：
10.1515/jaa-2022-1000
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, by considering the identity established by Luo et al. in [C. Luo, T.-S. Du, M. Kunt and Y. Zhang, Certain new bounds considering the weighted Simpson-like type inequality and applications, J. Inequal. Appl. 2018 2018, Paper No. 332] and under the assumption of the quasi-convexity of the first derivative, we establish some new error estimates of the Simpson-like type inequalities. We also discuss the case where the first derivative satisfies the Holder condition. At the end, we provide some applications to special means. The obtained results represent a continuation of the above-mentioned paper.
引用
收藏
页码：313 / 322
页数：10
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