Iq-Calculus and Iq-Hermite-Hadamard inequalities for interval-valued functions

被引：9

作者：

Lou, Tianyi ^{[1
]}

Ye, Guoju ^{[1
]}

Zhao, Dafang ^{[2
]}

Liu, Wei ^{[1
]}

机构：

[1] Hohai Univ, Coll Sci, Nanjing 210098, Peoples R China

[2] Hubei Normal Univ, Sch Math & Stat, Huangshi 435002, Hubei, Peoples R China

来源：

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

基金：

湖北省教育厅重点项目;

关键词：

Interval-valued functions; Iq-Derivative; Iq-Integral; Iq-Hermite-Hadamard inequalities; 26D15; 26E25; 26A33; QUANTUM INTEGRAL-INEQUALITIES; FRACTIONAL Q-INTEGRALS; CONVEX;

D O I：

10.1186/s13662-020-02902-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce the Iq-derivative and Iq-integral for interval-valued functions and give their basic properties. As a promotion of q-Hermite-Hadamard inequalities, we also give the Iq-Hermite-Hadamard inequalities for interval-valued functions. At the same time, we give some examples to illustrate the results.

引用

页数：22

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