Integral operators have a very vital role in diverse fields of science and engineering. In this paper, we use φ-convex functions for unified integral operators to obtain their upper bounds and upper and lower bounds for symmetric φ-convex functions in the form of a Hadamard inequality. Also, for φ-convex functions, we obtain bounds of different known fractional and conformable fractional integrals. The results of this paper are applicable to convex functions.

中文翻译：

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关于φ-凸函数的统一积分算子

整体运营商在科学和工程学的各个领域都发挥着至关重要的作用。在本文中，我们对统一积分算子使用φ-凸函数，以Hadamard不等式的形式获得对称φ-凸函数的上界和上下界。同样，对于φ-凸函数，我们获得了不同的已知分数和合规分数积分的边界。本文的结果适用于凸函数。