Wirtinger-type integral inequalities for interval-valued functions

被引：10

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

共 50 条

[41] On Fejer Type Inclusions for Products of Interval-Valued Convex Functions [J].

Budak, Huseyin ;

Kara, Hasan ;

Erden, Samet .

FILOMAT, 2021, 35 (14) :4937-4955

[42] Generalized Hukuhara Hadamard derivative of interval-valued functions and its applications to interval optimization [J].

Chauhan, Ram Surat ;

Ghosh, Debdas ;

Ansari, Qamrul Hasan .

SOFT COMPUTING, 2023, 28 (5) :4107-4123

[43] Some Fuzzy Riemann-Liouville Fractional Integral Inequalities for Preinvex Fuzzy Interval-Valued Functions [J].

Khan, Muhammad Bilal ;

Zaini, Hatim Ghazi ;

Macias-Diaz, Jorge E. ;

Treanta, Savin ;

Soliman, Mohamed S. .

SYMMETRY-BASEL, 2022, 14 (02)

[44] Calculus for interval-valued functions using generalized Hukuhara derivative and applications [J].

Chalco-Cano, Y. ;

Rufian-Lizana, A. ;

Roman-Flores, H. ;

Jimenez-Gamero, M. D. .

FUZZY SETS AND SYSTEMS, 2013, 219 :49-67

[45] On Hermite-Hadamard-Type Inequalities for Coordinated h-Convex Interval-Valued Functions [J].

Zhao, Dafang ;

Zhao, Guohui ;

Ye, Guoju ;

Liu, Wei ;

Dragomir, Silvestru Sever .

MATHEMATICS, 2021, 9 (19)

[46] ON HERMITE-HADAMARD TYPE INEQUALITIES FOR HARMONICAL h-CONVEX INTERVAL-VALUED FUNCTIONS [J].

Zhao, Dafang ;

An, Tianqing ;

Ye, Guoju ;

Torres, Delfim F. M. .

MATHEMATICAL INEQUALITIES & APPLICATIONS, 2020, 23 (01) :95-105

[47] Post-quantum Hermite-Hadamard type inequalities for interval-valued convex functions [J].

Ali, Muhammad Aamir ;

Budak, Huseyin ;

Murtaza, Ghulam ;

Chu, Yu-Ming .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01)

[48] A note on Gronwall type inequality for interval-valued functions [J].

Roman-Flores, Heriberto ;

Chalco-Cano, Yurilev ;

Silva, G. N. .

PROCEEDINGS OF THE 2013 JOINT IFSA WORLD CONGRESS AND NAFIPS ANNUAL MEETING (IFSA/NAFIPS), 2013, :1455-1458

[49] New Jensen and Hermite–Hadamard type inequalities for h-convex interval-valued functions [J].

Dafang Zhao ;

Tianqing An ;

Guoju Ye ;

Wei Liu .

Journal of Inequalities and Applications, 2018

[50] A new approach to interval-valued inequalities [J].

Awais Younus ;

Muhammad Asif ;

Jehad Alzabut ;

Abdul Ghaffar ;

Kottakkaran Sooppy Nisar .

Advances in Difference Equations, 2020

← 1 2 3 4 5 →