Weighted fractional Euler–Maclaurin inequalities for convex and bounded variation functions via Riemann–Liouville integrals

Weighted fractional Euler–Maclaurin inequalities for convex and bounded variation functions via Riemann–Liouville integrals

Abstract This paper develops weighted Euler–Maclaurin-type inequalities using Riemann–Liouville fractional integrals for classes of differentiable convex functions and functions of bounded variation. The work begins with a foundational integral equality that incorporates a positive weighting functio...

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Bibliographic Details
Main Authors: Areej A. Almoneef, Abd-Allah Hyder, Fatih Hezenci, Hüseyin Budak
Format: Article
Language:English
Published: SpringerOpen 2025-07-01
Series:Journal of Inequalities and Applications
Subjects:
Euler–Maclaurin inequality
Riemann–Liouville integrals
Differentiable convex functions
Bounded variation
Online Access:https://doi.org/10.1186/s13660-025-03333-3
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