Fractional midpoint-type inequalities for twice-differentiable functions

Hezenci F., Bohner M., Budaka H.

FILOMAT, cilt.37, sa.24, ss.8131-8144, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 24
  • Basım Tarihi: 2023
  • Doi Numarası: 10.2298/fil2324131h
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.8131-8144
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this research article, we obtain an identity for twice differentiable functions whose second derivatives in absolute value are convex. By using this identity, we prove several left Hermite-Hadamard-type inequalities for the case of Riemann-Liouville fractional integrals. Furthermore, we provide our results by using special cases of obtained theorems.