Fractional integral inequalities for generalized convexity

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

TBILISI MATHEMATICAL JOURNAL, sa.3, ss.63-83, 2020 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2020
  • Dergi Adı: TBILISI MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.63-83
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

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.