Fractional Ostrowski type inequalities for bounded functions

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Erden S., Budak H., Zeki Sarikaya M., Iftikhar S., Kumam P.

JOURNAL OF INEQUALITIES AND APPLICATIONS, no.1, 2020 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Publication Date: 2020
  • Doi Number: 10.1186/s13660-020-02381-1
  • Journal Name: JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Open Archive Collection: AVESIS Open Access Collection
  • Kocaeli University Affiliated: No

Abstract

We first establish some results involving Riemann-Liouville fractional integrals for partially differentiable functions. Then we obtain some fractional Ostrowski type inequalities for functions in class of functions Lp, L-infinity and L-1, respectively. We also give some midpoint type inequalities as special cases of our main results.