In this paper, we define generalized conformable fractional integrals on co-ordinated functions and generalized conformable fractional integrals for the functions of two variables. Furthermore, we obtain a new Hermite–Hadamard inequality by using the generalized Riemann–Liouville integrals by means of the generalized conformable integral definition. Moreover, we demonstrate some consequences by utilizing Hermite–Hadamard inequality and by utilizing definitions which we define in the study. Additionally, we state and prove some inequalities.

中文翻译：

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由协调函数生成的广义 σ− 适形积分的 Hermite-Hadamard 不等式

在本文中，我们定义了并列函数的广义一致分数积分和二变量函数的广义一致分数积分。此外，我们通过广义适形积分定义，利用广义黎曼-刘维尔积分，得到了一个新的Hermite-Hadamard不等式。此外，我们通过利用埃尔米特-哈达玛不等式和利用我们在研究中定义的定义来证明一些后果。此外，我们陈述并证明了一些不等式。