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

被引：1

作者：

Kiris, Mehmet Eyup ^{[1
]}

Vivas-Cortez, Miguel ^{[2
]}

Bayrak, Gozde ^{[3
]}

Cmar, Tugba ^{[3
]}

Budak, Huseyin ^{[4
]}

机构：

[1] Afyon Kocatepe Univ, Fac Sci & Arts, Dept Math, Afyonkarahisar, Turkiye

[2] Pontificia Univ Catolica Ecuador, Fac Ciencias Nat & Exactas, Escuela Ciencias Fis & Matemat, Sede Quito, Ecuador

[3] Afyon Kocatepe Univ, Grad Sch Nat & Appl Sci, Afyonkarahisar, Turkiye

[4] Duzce Univ, Fac Sci & Arts, Dept Math, Duzce, Turkiye

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 04期

关键词：

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

D O I：

10.3934/math.2024502

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：10267 / 10288

页数：22

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