AIMS Mathematics (Mar 2024)

On Hermite-Hadamard type inequalities for co-ordinated convex function via conformable fractional integrals

  • Mehmet Eyüp Kiriş ,
  • Miguel Vivas-Cortez,
  • Gözde Bayrak,
  • Tuğba Çınar ,
  • Hüseyin Budak

DOI
https://doi.org/10.3934/math.2024502
Journal volume & issue
Vol. 9, no. 4
pp. 10267 – 10288

Abstract

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In this study, some new Hermite-Hadamard type inequalities for co-ordinated convex functions were obtained with the help of conformable fractional integrals. We have presented some remarks to give the relation between our results and earlier obtained results. Moreover, an identity for partial differentiable functions has been established. By using this equality and concept of co-ordinated convexity, we have proven a trapezoid type inequality for conformable fractional integrals.

Keywords