Hermite-Hadamard Type Inequalities for B-1-Convex Functions Involving Generalized Fractional Integral Operators

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YEŞİLCE İ., ADİLOV G.

FILOMAT, vol.32, no.18, pp.6457-6464, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 32 Issue: 18
  • Publication Date: 2018
  • Doi Number: 10.2298/fil1818457y
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.6457-6464
  • Keywords: B-1-convex functions, generalized fractional integral, Hermite-Hadamard inequality, abstract convexity, SETS
  • Akdeniz University Affiliated: Yes

Abstract

B-1-convexity is an abstract convexity type. We obtained Hermite-Hadamard inequality for B-1-convex functions. But now, there are new and more general integral operator types that are fractional integrals. Thus, we need to prove Hermite-Hadamard inequalities involving different fractional integral operator types with this article.