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

Budak H., Ertugral F., Pehlivan E.

FILOMAT, vol.33, no.15, pp.4967-4979, 2019 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 33 Issue: 15
  • Publication Date: 2019
  • Doi Number: 10.2298/fil1915967b
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.4967-4979
  • Kocaeli University Affiliated: No

Abstract

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.