SÁNDOR'S INEQUALITY FOR RIEMANN-LIOUVILLE FRACTIONAL INTEGRALS
Miskolc Mathematical Notes, cilt.27, sa.1, ss.291-298, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 27 Sayı: 1
- Basım Tarihi: 2026
- Doi Numarası: 10.18514/mmn.2026.5141
- 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.291-298
- Anahtar Kelimeler: convex functions, Hermite-Hadamard inequality, Riemann-Liouville fractional integrals, Sándor’s inequality
- Kocaeli Üniversitesi Adresli: Evet
Özet
The Sándor inequality is a highly significant result in both pure and applied mathematics, providing an upper bound for the mean square of a positive convex function. This paper presents an extension of the Sándor inequality to the case of fractional integrals in the sense of Riemann-Liouville, as well as a generalization for any positive power r.