NEW INEQUALITIES OF HERMITE-HADAMARD TYPE FOR TWICE DIFFERENTIABLE FUNCTIONS VIA GENERALIZED FRACTIONAL INTEGRALS

BUDAK H., Ali M. A., Kashuri A.

Turkish Journal of Inequalities, cilt.6, sa.2, ss.27-39, 2022 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 6 Sayı: 2
  • Basım Tarihi: 2022
  • Dergi Adı: Turkish Journal of Inequalities
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.27-39
  • Anahtar Kelimeler: Convex function, Fractional integral operators, Hermite-Hadamard inequality, Midpoint inequality
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this paper we first obtain a new generalized identities for twice differentiable mappings involving newly defined generalized fractional integrals. Then by using this equality, we establish some Hermite-Hadamard type inequalities for functions whose second derivatives in absolute value are convex.