SOME HERMITE-HADAMARD AND OSTROWSKI TYPE FRACTIONAL INTEGRAL INEQUALITIES VIA NEW GENERALIZED<i> m</i>-TYPE CONVEXITY

Baidar, Abdul; KUNT, MEHMET

doi:10.18514/mmn.2025.4627

SOME HERMITE-HADAMARD AND OSTROWSKI TYPE FRACTIONAL INTEGRAL INEQUALITIES VIA NEW GENERALIZED<i> m</i>-TYPE CONVEXITY

Baidar A. W., KUNT M.

MISKOLC MATHEMATICAL NOTES, cilt.26, sa.2, ss.603-622, 2025 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 26 Sayı: 2
Basım Tarihi: 2025
Doi Numarası: 10.18514/mmn.2025.4627
Dergi Adı: MISKOLC MATHEMATICAL NOTES
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, Directory of Open Access Journals
Sayfa Sayıları: ss.603-622
Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

A new generalized class of m-type convex functions is presented. Some Hermite-Hadamard and Ostrowski type inequalities via Riemann-Liouville fractional integrals are obtained for these functions. Some particular cases are discussed as applications of the findings acquired in this study.