On Hermite-Hadamard type inequalities for n-polynomial convex stochastic processes

被引：14

作者：

Fu, Haoliang ^{[1
,2
]}

Saleem, Muhammad Shoaib ^{[3
]}

Nazeer, Waqas ^{[4
]}

Ghafoor, Mamoona ^{[3
]}

Li, Peigen ^{[2
]}

机构：

[1] Guangdong Univ Finance & Econ, Sch Finance, Guangzhou 510320, Peoples R China

[2] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

[3] Univ Okara, Dept Math, Okara, Pakistan

[4] Govt Coll Univ, Dept Math, Lahore, Pakistan

来源：

AIMS MATHEMATICS | 2021年 / 6卷 / 06期

关键词：

convex stochastic process; n-polynomial; Holder-Iscan integral inequality; Hermite-Hadamard inequality; OPTIMAL CONSUMPTION; APPROXIMATION; OPTIMIZATION;

D O I：

10.3934/math.2021371

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, our purpose is to introduce the concept of n-polynomial convex stochastic processes and study some of their algebraic properties. We establish new refinements for integral version of Holder and power mean inequality. Also, we are concerned to extend several Hermite-Hadamard type inequalities for n-polynomial convex stochastic processes by using Holder, Holder-Iscan, power mean and improved power mean integral inequalities. Moreover, we give comparison of obtained results.

引用

页码：6322 / 6339

页数：18

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