New integral inequalities in the framework of weighted Riemann–Liouville integral operators
Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences, vol.46, no.1, pp.16-32, 2026 (Scopus)
- Publication Type: Article / Article
- Volume: 46 Issue: 1
- Publication Date: 2026
- Doi Number: 10.30546/2617-7900.46.1.2026.0020
- Journal Name: Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences
- Journal Indexes: Scopus
- Page Numbers: pp.16-32
- Keywords: (h, m)–convex modified functions, Riemann–Liouville fractional integrals, Simpson type inequality
- Bursa Uludag University Affiliated: Yes
Abstract
In this article, we introduce new weighted integral operators. We develop a lemma where we derive a generalized identity using these integral operators. Leveraging this identity, we establish new generalized Simpson-type inequalities for (h,m)-convex functions.