CERTAIN QUANTUM ESTIMATES ON THE PARAMETERIZED INTEGRAL INEQUALITIES AND THEIR APPLICATIONS

被引：30

作者：

Du, Tingsong ^{[1
]}

Luo, Chunyan ^{[1
]}

Yu, Bo ^{[1
]}

机构：

[1] China Three Gorges Univ, Dept Math, Coll Sci, Yichang 443002, Peoples R China

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2021年 / 15卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Quantum integrals; s-(alpha; m)-convexity; Hermite-Hadamard's inequality; Simpson's inequality; HERMITE-HADAMARD INEQUALITY; FEJER TYPE INEQUALITIES; CONVEX-FUNCTIONS; SIMPSON TYPE; BOUNDS; M)-CONVEX; PREINVEX; (S;

D O I：

10.7153/jmi-2021-15-16

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present paper aims to study the parameterized inequalities of Hadamard-Simpson type for quantum integrals. By employing a quantum integral identity of multi-parameter, we establish novel inequalities fora class of q-differentiable mappings, which are related to s-(alpha, m)-convex mappings. Moreover, we acquire estimation-type results by considering the boundedness and the Lipschitz condition. As applications, we present two illustrative examples and several quantum integral inequalities for the special means.

引用

页码：201 / 228

页数：28

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