On new Milne-type inequalities for fractional integrals

Abstract 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 th...

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Bibliographic Details
Main Authors: Hüseyin Budak, Pınar Kösem, Hasan Kara
Format: Article
Language:English
Published: SpringerOpen 2023-01-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-023-02921-5
Description
Summary:Abstract 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.
ISSN:1029-242X