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

页码：313 / 322

页数：10

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