Generalized fractional integral inequalities of Hermite-Hadamard type for harmonically convex functions

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Zhao D., Ali M. A., Kashuri A., Budak H.

ADVANCES IN DIFFERENCE EQUATIONS, no.1, 2020 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Publication Date: 2020
  • Doi Number: 10.1186/s13662-020-02589-x
  • Journal Name: ADVANCES IN DIFFERENCE EQUATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Open Archive Collection: AVESIS Open Access Collection
  • Kocaeli University Affiliated: No

Abstract

In this paper, we establish inequalities of Hermite-Hadamard type for harmonically convex functions using a generalized fractional integral. The results of our paper are an extension of previously obtained results (Iscan in Hacet. J. Math. Stat. 43(6):935-942, 2014 and Iscan and Wu in Appl. Math. Comput. 238:237-244, 2014). We also discuss some special cases for our main results and obtain new inequalities of Hermite-Hadamard type.