On the Hermite–Hadamard inequalities for interval-valued coordinated convex functions

In this work, we introduce the notion of interval-valued coordinated convexity and demonstrate Hermite–Hadamard type inequalities for interval-valued convex functions on the co-ordinates in a rectangle from the plane. Moreover, we prove Hermite–Hadamard inequalities for the product of interval-value...

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Bibliographic Details
Published inAdvances in difference equations Vol. 2020; no. 1; pp. 1 - 14
Main Authors Zhao, Dafang, Ali, Muhammad Aamir, Murtaza, Ghulam, Zhang, Zhiyue
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 12.10.2020
SpringerOpen
Subjects
Analysis
Coordinated convex functions
Difference and Functional Equations
Functional Analysis
Hermite–Hadamard inequality
Interval-valued functions
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
28B20
Interval-valued functions
Coordinated convex functions
Hermite–Hadamard inequality
26B25
26D15
26E25
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Summary:In this work, we introduce the notion of interval-valued coordinated convexity and demonstrate Hermite–Hadamard type inequalities for interval-valued convex functions on the co-ordinates in a rectangle from the plane. Moreover, we prove Hermite–Hadamard inequalities for the product of interval-valued convex functions on coordinates. Our results generalize several other well-known inequalities given in the existing literature on this subject.
ISSN:1687-1847
1687-1847
DOI:10.1186/s13662-020-03028-7