Fractional calculus operators are very useful in basic sciences and engineering. In this paper we study an integral operator which is directly related with many known fractional integral operators. A new generalized convexity namely exponentially (α, h−m)-convexity is defined which has been applied to obtain the bounds of unified integral operators. A generalized Hadamard inequality is established for the generalized convex functions. The established theorems reproduce several known results.

中文翻译：

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关于积分和随之而来的分数阶积分算子

小数演算运算符在基础科学和工程学中非常有用。在本文中，我们研究了与许多已知的分数积分算子直接相关的积分算子。定义了一种新的广义凸度，即指数（α，h-m）-凸度，该凸度已用于获得统一积分算子的界。为广义凸函数建立了广义Hadamard不等式。既定定理重现了几个已知结果。