Advancements in corrected Euler–Maclaurin-type inequalities via conformable fractional integrals

Advancements in corrected Euler–Maclaurin-type inequalities via conformable fractional integrals

Abstract In this research article, equality is proved to obtain corrected Euler–Maclaurin-type inequalities. Using this identity, we establish several corrected Euler–Maclaurin-type inequalities for the case of differentiable convex functions by means of conformable fractional integrals. Moreover, s...

Full description

Saved in:
Bibliographic Details
Main Authors: Yaren Acar, Hüseyin Budak, Umut Bas, Fatih Hezenci, Hüseyin Yıldırım
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:Boundary Value Problems
Subjects:
Quadrature formulae
Corrected Maclaurin’s formula
Fractional calculus
Conformable fractional integrals
Online Access:https://doi.org/10.1186/s13661-024-01990-9
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Abstract In this research article, equality is proved to obtain corrected Euler–Maclaurin-type inequalities. Using this identity, we establish several corrected Euler–Maclaurin-type inequalities for the case of differentiable convex functions by means of conformable fractional integrals. Moreover, some corrected Euler–Maclaurin-type inequalities are given for bounded functions by fractional integrals. Additionally, fractional corrected Euler–Maclaurin-type inequalities are constructed for Lipschitzian functions. Finally, corrected Euler–Maclaurin-type inequalities are considered by fractional integrals of bounded variation.
ISSN:1687-2770

Similar Items