Generalized fractional hermite-hadamard type inequalities for convex functions

BUDAK H., Ali M. A., Sarikaya M. Z.

Applied Mathematics and Information Sciences, vol.14, no.5, pp.781-790, 2020 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 5
  • Publication Date: 2020
  • Doi Number: 10.18576/amis/140505
  • Journal Name: Applied Mathematics and Information Sciences
  • Journal Indexes: Scopus, zbMATH
  • Page Numbers: pp.781-790
  • Keywords: Convex functions, Generalized fractional integrals, Hermite-Hadamard inequalities
  • Kocaeli University Affiliated: No

Abstract

In this article, we obtain some Hermite-Hadamard type inequalities for differentiable convex functions involving generalized fractional integrals. Some of our results are the extension of previously obtained results like (Dragomir and Agarwal in Appl. Math. Lett. 11(5): 91-95, 1998, Dragomir, Chob and Kimc in J. Math. Anal. Appl. 245(2):489-501, 2000, Yang, H. Wang and Tseng in Comput. Math. Appl. 47(2-3):207-216, 2004 and S. Qaisar et al. in J. Inequal. Appl. 2019(1):111, 2019). We also discuss some special cases.