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.
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页码：102 / 114
页数：13
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