Open Mathematics (Sep 2021)

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

  • Budak Huseyin,
  • Kara Hasan,
  • Ali Muhammad Aamir,
  • Khan Sundas,
  • Chu Yuming

DOI
https://doi.org/10.1515/math-2021-0067
Journal volume & issue
Vol. 19, no. 1
pp. 1081 – 1097

Abstract

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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.

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