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

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

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Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	10267-10288
Número de páginas	22
Publicación	AIMS Mathematics
Volumen	9
N.º	4
DOI	https://doi.org/10.3934/math.2024502
Estado	Publicada - 14 mar. 2024

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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.",

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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

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ER -

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

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