engleski

The Jensen inequality in an external formula

The classical Jensen inequality is expressed by internally dividing points and so is non- commutative Jensen inequalities. In this paper, considering that it is expressed by externally dividing points, we shall discuss two non- commutative Jensen inequalities and their reverse, that is, one is a vector state version and the other is a Davis-Choi-Jensen type version.

Jensen inequality; Operator concave; Davis-Choi-Jensen inequality; reverse inequality

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