In this paper, we first provide a better estimate of the second inequality in Hermite–Hadamard inequality. Next, we study the reverse of the celebrated Davis–Choi–Jensen’s inequality. Our results are employed to establish a new bound for the operator Kantorovich inequality.

中文翻译：

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关于逆运算符Choi–Davis–Jensen不等式

在本文中，我们首先更好地估计Hermite-Hadamard不等式中的第二个不等式。接下来，我们研究著名的戴维斯-崔-詹森不等式的反面。我们的结果被用来为算子Kantorovich不等式建立新的界限。