In this paper, bounds of fractional and conformable integral operators are established in a compact form. By using exponentially convex functions, certain bounds of these operators are derived and further used to prove their boundedness and continuity. A modulus inequality is established for a differentiable function whose derivative in absolute value is exponentially convex. Upper and lower bounds of these operators are obtained in the form of a Hadamard inequality. Some particular cases of main results are also studied.

中文翻译：

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通过指数凸函数求积分算子的界

在本文中，分数和可整合积分算子的边界以紧凑形式建立。通过使用指数凸函数，可以导出这些算子的某些边界，并进一步证明它们的有界性和连续性。为微分函数建立了一个模不等式，该函数的绝对值导数是指数凸的。这些运算符的上限和下限以Hadamard不等式的形式获得。还研究了一些主要结果的特殊情况。