On new Milne-type inequalities for fractional integrals

In this study, fractional versions of Milne-type inequalities are investigated for differentiable convex functions. We present Milne-type inequalities for bounded functions, Lipschitz functions, functions of bounded variation, etc., found in the literature. New results are established in the area of...

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Bibliographic Details
Published inJournal of inequalities and applications Vol. 2023; no. 1; pp. 10 - 15
Main Authors Budak, Hüseyin, Kösem, Pınar, Kara, Hasan
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 18.01.2023
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Applications of Mathematics
Bounded function
Convex analysis
Convex function
Fractional calculus
Fractional integrals
Function of bounded variation
Inequalities
Inequality
Integrals
Mathematics
Mathematics and Statistics
Milne-type inequalities
Milne-type inequalities
26D10
Function of bounded variation
Convex function
Fractional integrals
26D07
26D15
Bounded function
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Summary:In this study, fractional versions of Milne-type inequalities are investigated for differentiable convex functions. We present Milne-type inequalities for bounded functions, Lipschitz functions, functions of bounded variation, etc., found in the literature. New results are established in the area of inequalities. This article is the first to study Milne-type inequalities for fractional integrals.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-023-02921-5