CERTAIN QUANTUM ESTIMATES ON THE PARAMETERIZED INTEGRAL INEQUALITIES AND THEIR APPLICATIONS

被引：29
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
收藏
页码：201 / 228
页数：28
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