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, no.4, pp.187-234, 2020 (ESCI) identifier

  • Publication Type: Article / Article
  • Publication Date: 2020
  • Journal Name: JOURNAL OF MATHEMATICAL EXTENSION
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.187-234
  • Kocaeli University Affiliated: No

Abstract

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