On Hermite-Hadamard type inequalities for co-ordinated convex function via conformable fractional integrals-Reference-Cited by-同舟云学术

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

Published:2024 Issue:4 Volume:9 Page:10267-10288
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Kiriş Mehmet Eyüp¹,Vivas-Cortez Miguel²,Bayrak Gözde³,Çınar Tuğba³,Budak Hüseyin⁴

Affiliation:

1. Department of Mathematics, Faculty of Science and Arts, Afyon Kocatepe University, Afyonkarahisar, Türkiye

2. Pontificia Universidad Católica del Ecuador, Facultad de Ciencias Naturales y Exactas, Escuela de Ciencias Físicas y Matemáticas, Sede Quito, Ecuador

3. Afyon Kocatepe University Graduate School of Natural and Applied Sciences, Afyonkarahisar, Türkiye

4. Department of Mathematics, Faculty of Science and Arts, Dü zce University, Düzce, Türkiye

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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