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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Main Authors: Xiaoju Zhang, Khurram Shabbir, Waqar Afzal, He Xiao, Dong Lin
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2022/3830324
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author Xiaoju Zhang
Khurram Shabbir
Waqar Afzal
He Xiao
Dong Lin
author_facet Xiaoju Zhang
Khurram Shabbir
Waqar Afzal
He Xiao
Dong Lin
author_sort Xiaoju Zhang
collection DOAJ
description 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.
format Article
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institution Kabale University
issn 2314-4785
language English
publishDate 2022-01-01
publisher Wiley
record_format Article
series Journal of Mathematics
spelling doaj-art-74bd3e557e9641028acf27d88cc5862e2025-02-03T05:50:39ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/3830324Hermite–Hadamard and Jensen-Type Inequalities via Riemann Integral Operator for a Generalized Class of Godunova–Levin FunctionsXiaoju Zhang0Khurram Shabbir1Waqar Afzal2He Xiao3Dong Lin4Xi’an Traffic Engineering InstituteDepartment of MathematicsDepartment of MathematicsXi’an Traffic Engineering InstituteScientific Research DepartmentThe 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.http://dx.doi.org/10.1155/2022/3830324
spellingShingle Xiaoju Zhang
Khurram Shabbir
Waqar Afzal
He Xiao
Dong Lin
Hermite–Hadamard and Jensen-Type Inequalities via Riemann Integral Operator for a Generalized Class of Godunova–Levin Functions
Journal of Mathematics
title Hermite–Hadamard and Jensen-Type Inequalities via Riemann Integral Operator for a Generalized Class of Godunova–Levin Functions
title_full Hermite–Hadamard and Jensen-Type Inequalities via Riemann Integral Operator for a Generalized Class of Godunova–Levin Functions
title_fullStr Hermite–Hadamard and Jensen-Type Inequalities via Riemann Integral Operator for a Generalized Class of Godunova–Levin Functions
title_full_unstemmed Hermite–Hadamard and Jensen-Type Inequalities via Riemann Integral Operator for a Generalized Class of Godunova–Levin Functions
title_short Hermite–Hadamard and Jensen-Type Inequalities via Riemann Integral Operator for a Generalized Class of Godunova–Levin Functions
title_sort hermite hadamard and jensen type inequalities via riemann integral operator for a generalized class of godunova levin functions
url http://dx.doi.org/10.1155/2022/3830324
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AT khurramshabbir hermitehadamardandjensentypeinequalitiesviariemannintegraloperatorforageneralizedclassofgodunovalevinfunctions
AT waqarafzal hermitehadamardandjensentypeinequalitiesviariemannintegraloperatorforageneralizedclassofgodunovalevinfunctions
AT hexiao hermitehadamardandjensentypeinequalitiesviariemannintegraloperatorforageneralizedclassofgodunovalevinfunctions
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