Fractional Hermite-Hadamard-type inequalities for interval-valued co-ordinated convex functions

Budak H., Kara H., Ali M. A., Khan S., Chu Y.

OPEN MATHEMATICS, vol.19, no.1, pp.1081-1097, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 1
  • Publication Date: 2021
  • Doi Number: 10.1515/math-2021-0067
  • Journal Name: OPEN MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, Directory of Open Access Journals
  • Page Numbers: pp.1081-1097
  • Kocaeli University Affiliated: No

Abstract

In this work, we introduce the notions about the Riemann-Liouville fractional integrals for interval-valued functions on co-ordinates. We also establish Hermite-Hadamard and some related inequalities for co-ordinated convex interval-valued functions by applying the newly defined fractional integrals. The results of the present paper are the extension of several previously published results.