Wirtinger-type integral inequalities for interval-valued functions

被引：9

作者：

Costa, T. M. ^{[1
]}

Chalco-Cano, Y. ^{[2
]}

Roman-Flores, H. ^{[3
]}

机构：

[1] Univ Fed Para, Inst Ciencias Exatas & Nat, Belem, Para, Brazil

[2] Univ Tarapaca, Dept Math, Casilla 7D, Arica, Chile

[3] Univ Tarapaca, Inst Alta Invest, Casilla 7D, Arica, Chile

来源：

FUZZY SETS AND SYSTEMS | 2020年 / 396卷

关键词：

Wirtinger's inequality; Interval-valued functions; Generalized Hukuhara differentiability of interval-valued functions; TUCKER OPTIMALITY CONDITIONS; PROGRAMMING-PROBLEMS; CALCULUS; ZEROS; DIFFERENTIABILITY;

D O I：

10.1016/j.fss.2019.08.003

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This study presents some Wirtinger-type integral inequalities for interval-valued functions by means of the generalized Hukuhara differentiability and the Pompeiu-Hausdorff metric. These integral inequalities generalize their respective versions for real-valued functions. Numerical examples that illustrate the applicability of the theory developed herein are also provided. (C) 2019 Elsevier B.V. All rights reserved.

引用

页码：102 / 114

页数：13

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