New integral inequalities in the framework of weighted Riemann–Liouville integral operators

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Bayraktar B., Guzmán P. M., Nápoles J. E.

Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences, cilt.46, sa.1, ss.16-32, 2026 (Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 46 Sayı: 1
• Basım Tarihi: 2026
• Doi Numarası: 10.30546/2617-7900.46.1.2026.0020
• Dergi Adı: Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences
• Derginin Tarandığı İndeksler: Scopus
• Sayfa Sayıları: ss.16-32
• Anahtar Kelimeler: (h, m)–convex modified functions, Riemann–Liouville fractional integrals, Simpson type inequality
• Bursa Uludağ Üniversitesi Adresli: Evet

Özet

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.