Hermite-Hadamard Type Inequalities for <i>h</i>-Convex Functions Via Generalized Fractional Integrals

Ali M. A., Budak H., Abbas M., Sarikaya M. Z., Kashuri A.

JOURNAL OF MATHEMATICAL EXTENSION, sa.4, ss.187-234, 2020 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2020
  • Dergi Adı: JOURNAL OF MATHEMATICAL EXTENSION
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.187-234
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

The purpose of this paper is to establish some Hermite-Hadamard type inequalities for h-convex functions utilizing generalized fractional integrals. We also obtain some generalized trapezoid and midpoint type inequalities for the mapping whose first derivatives absolutely value are h-convex. The results proved in this paper generalize the several inequalities obtained earlier works