On Fejer Type Inequalities for Convex Mappings Utilizing Fractional Integrals of a Function with Respect to Another Function

Budak H.

RESULTS IN MATHEMATICS, sa.1, 2019 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s00025-019-0960-8
  • Dergi Adı: RESULTS IN MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this work, we first establish Hermite-Hadamard-Fejer type inequalities for convex function involving fractional integrals with respect to another function which are generalization of some important fractional integrals such as the Riemann-Liouville fractional integrals and the Hadamard fractional integrals. Moreover, we obtain some trapezoid type inequalities for these kind of fractional integrals. The results given in this paper provide generalization of several inequalities obtained in earlier studies.