Hermite-Hadamard-type inequalities via n-polynomial exponential-type convexity and their applications

被引：33

作者：

Butt, Saad Ihsan ^{[1
]}

Kashuri, Artion ^{[2
]}

Tariq, Muhammad ^{[1
]}

Nasir, Jamshed ^{[3
]}

Aslam, Adnan ^{[4
]}

Gao, Wei ^{[5
]}

机构：

[1] COMSATS Univ Islamabad, Dept Math, Lahore Campus, Lahore 54000, Pakistan

[2] Univ Ismail Qemali, Fac Tech Sci, Dept Math, Vlora, Albania

[3] Virtual Univ Pakistan, Lahore Campus, Lahore, Pakistan

[4] Univ Engn & Technol, Dept Nat Sci & Humanities, Lahore Rcet 54000, Pakistan

[5] Yunnan Normal Univ, Sch Informat Sci & Technol, Kunming 650500, Yunnan, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期

关键词：

Hermite-Hadamard inequality; Holder inequality; Power mean inequality; (s; m)-exponential-type convexity; n-polynomial;

D O I：

10.1186/s13662-020-02967-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we give and study the concept of n-polynomial (s, m)-exponential-type convex functions and some of their algebraic properties. We prove new generalization of Hermite-Hadamard-type inequality for the n-polynomial (s, m)-exponential-type convex function psi. We also obtain some refinements of the Hermite-Hadamard inequality for functions whose first derivatives in absolute value at certain power are n-polynomial (s, m)-exponential-type convex. Some applications to special means and new error estimates for the trapezoid formula are given.

引用

页数：25

共 22 条

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