论文标题
P级功能的一些不平等现象
Some inequalities for P-class functions
论文作者
论文摘要
在本文中，我们在希尔伯特空间上为$ p $ class函数和自我伴侣运营商提供了一些不平等，包括詹森的不平等和埃尔米特 - 哈达玛德类型不平等的操作员版本。我们通过提供上限来改善Hölder-Maccarthy不平等。 Jensen类型不平等的一些改进将引起人们的关注。
In this paper, we provide some inequalities for $P$-class functions and self-adjoint operators on a Hilbert space including an operator version of the Jensen's inequality and the Hermite-Hadamard's type inequality. We improve the Hölder-MacCarthy inequality by providing an upper bound. Some refinements of the Jensen type inequality for $P$-class functions will be of interest.
