Opial-type inequalities for interval-valued functions

被引:62
作者
Costa, T. M. [1 ]
Roman-Flores, H. [2 ]
Chalco-Cano, Y. [2 ]
机构
[1] Univ Fed Para, Inst Ciencias Exatas & Nat, Belem, Para, Brazil
[2] Univ Tarapaca, Inst Alta Invest, Casilla 7D, Arica, Chile
关键词
Opial's inequality; Interval-valued functions; Generalized Hukuhara differentiable interval-valued functions; HUKUHARA; DIFFERENTIABILITY; CALCULUS;
D O I
10.1016/j.fss.2018.04.012
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
This paper establishes Opial-type inequalities for generalized Hukuhara differentiable interval-valued functions. Numerical examples are presented to illustrate the applicability of theory developed herein. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码:48 / 63
页数:16
相关论文
共 30 条
[1]  
Agarwal R.P., 2015, ADV DYN SYST APPL, V10, P1
[2]  
Agarwal R. P, 1995, Opial inequalities with applications in differential and difference equations, V320
[3]  
[Anonymous], 1985, Computational functional analysis
[4]  
[Anonymous], 1960, Ann. Polon. Math.
[5]  
[Anonymous], 2011, ADV INEQUALITIES
[6]  
[Anonymous], 1962, Trans. Amer. Math. Soc.
[7]  
[Anonymous], 1959, LMSD285875
[8]  
Aseev S. M., 1986, Proc. Steklov Inst. Math, V167, P23
[9]  
Aubin J., 1984, Differential Inclusions: Set-Valued Maps and Viability Theory
[10]  
Aubin J.P., 1990, Set-Valued Analysis, DOI 10.1007/978-0-8176-4848-0