ON HERMITE-HADAMARD TYPE INEQUALITIES FOR INTERVAL-VALUED MULTIPLICATIVE INTEGRALS

被引：23

作者：

Ali, Muhammad Aamir ^{[1
]}

Zhang, Zhiyue ^{[1
]}

Budak, Huseyin ^{[2
]}

Sarikaya, Mehmet Zeki ^{[2
]}

机构：

[1] Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210023, Jiangsu, Peoples R China

[2] Duzce Univ, Fac Sci & Arts, Dept Math, Duzce, Turkey

来源：

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2020年 / 69卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Convex functions; logarithmically convex functions; interval-valued functions; multiplicative integral operator and Hermite-Hadamard inequalities; CALCULUS;

D O I：

10.31801/cfsuasmas.754842

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we define multiplicative integrals for interval-valued functions. We establish some new Hermite-Hadamard type inequalities in the setting of interval-valued multiplicative calculus and give some examples to illustrate our main results. We also discuss special cases of our main results which are the extension of already established results.

引用

页码：1428 / 1448

页数：21

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