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, 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.
Authors
- Umut Baş (ORCID: https://orcid.org/0000-0002-8749-6226)
- Hüseyin Yıldırım (ORCID: https://orcid.org/0000-0001-8855-9260)
- Hüseyin Budak (ORCID: https://orcid.org/0000-0001-8843-955X)
- Fatih Hezenci (ORCID: https://orcid.org/0000-0003-1008-5856)
- Yaren Acar
Institutions
- Kahramanmaraş Sütçü İmam University (TR)
- Düzce Üniversitesi (TR)
Publication Details
- Journal
- Boundary Value Problems
- Published
- 2025-01-09
- DOI
- https://doi.org/10.1186/s13661-024-01990-9
- Citations
- 1
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 3.73