Fractional integral inequalities for generalized convexity

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

TBILISI MATHEMATICAL JOURNAL, no.3, pp.63-83, 2020 (ESCI) identifier

  • Publication Type: Article / Article
  • Publication Date: 2020
  • Journal Name: TBILISI MATHEMATICAL JOURNAL
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.63-83
  • Kocaeli University Affiliated: No

Abstract

In this paper, we define a new class of functions called generalized phi-convex function. Several variants of Hermite-Hadamard type fractional integral inequalities are presented. This ideas and techniques used in this paper may open new avenues of research and motivate the reader to explore the application of generalized phi-convex functions in various branches of pure and applied sciences.