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:10.3934/math.2024502

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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	10267-10288
Number of pages	22
Journal	AIMS Mathematics
Volume	9
Issue number	4
DOIs	https://doi.org/10.3934/math.2024502
State	Published - 14 Mar 2024

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© 2024 the Author(s), licensee AIMS Press.

Keywords

co-ordinated convex mapping
conformable fractional integral
convex functions
Hermite-Hadamard inequality
trapezoid type inequalities

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10.3934/math.2024502

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AU - Kiriş, Mehmet Eyüp

AU - Vivas-Cortez, Miguel

AU - Bayrak, Gözde

AU - Çınar, Tuğba

AU - Budak, Hüseyin

PY - 2024/3/14

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N2 - 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.

AB - 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.

KW - co-ordinated convex mapping

KW - conformable fractional integral

KW - convex functions

KW - Hermite-Hadamard inequality

KW - trapezoid type inequalities

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JO - AIMS Mathematics

JF - AIMS Mathematics

IS - 4

ER -

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

Abstract

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Keywords

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