Hermite–Hadamard and Jensen-Type Inequalities via Riemann Integral Operator for a Generalized Class of Godunova–Levin Functions

The generalization of Godunova–Levin interval-valued functions has been drastically studied in last few decades, as it has a remarkable applications in both pure and applied mathematics. The goal of this study is to introduce the notion of h-Godunova–Levin interval-valued functions. We establish Her...

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Published inJournal of mathematics (Hidawi) Vol. 2022; no. 1
Main Authors Zhang, Xiaoju, Shabbir, Khurram, Afzal, Waqar, Xiao, He, Lin, Dong
Format Journal Article
LanguageEnglish
Published Cairo Hindawi 2022
Hindawi Limited
Subjects
Applications of mathematics
Control theory
Convex analysis
Inequalities
Inequality
Mathematical analysis
Mathematics
Operators (mathematics)
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Summary:The generalization of Godunova–Levin interval-valued functions has been drastically studied in last few decades, as it has a remarkable applications in both pure and applied mathematics. The goal of this study is to introduce the notion of h-Godunova–Levin interval-valued functions. We establish Hermite–Hadamard and Jensen-type inequalities via Riemann integral operator.
ISSN:2314-4629
2314-4785
DOI:10.1155/2022/3830324