Hermite-Hadamard Type Inequalities for Twice Differantiable Functions via Generalized Fractional Integrals


Budak H., Ertugral F., Pehlivan E.

FILOMAT, cilt.33, sa.15, ss.4967-4979, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 15
  • Basım Tarihi: 2019
  • Doi Numarası: 10.2298/fil1915967b
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.4967-4979
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this paper we first obtain two generalized identities for twice differentiable mappings involving generalized fractional integrals defined by Sarikaya and Ertugral. Then we establish some midpoint and trapezoid type inequalities for functions whose second derivatives in absolute value are convex.