SÁNDOR'S INEQUALITY FOR RIEMANN-LIOUVILLE FRACTIONAL INTEGRALS

Meftah B., Saleh W., LAKHDARI A.

Miskolc Mathematical Notes, cilt.27, sa.1, ss.291-298, 2026 (SCI-Expanded, Scopus) identifier

  • 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.