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2019•Journal of Mathematical FinanceOpen access

Jensen Inequality of Bivariate Function in the G-Expectation Framework

Liyang Feng

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Abstract

In the G-expectation framework, Wang [1] first obtained the Jensen inequality of one-dimensional function. In this paper, under some stronger conditions, we obtain the Jensen inequality of bivariate function based on Wang’s proof method. And we give some examples to illustrate the application of Jensen inequality of bivariate function.

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What this paper is about

In the G-expectation framework, Wang [1] first obtained the Jensen inequality of one-dimensional function. In this paper, under some stronger conditions, we obtain the Jensen inequality of bivariate function based on Wang’s proof method. And we give some examples to illustrate the application of Jensen inequality of bivariate function.

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Available abstract

In the G-expectation framework, Wang [1] first obtained the Jensen inequality of one-dimensional function. In this paper, under some stronger conditions, we obtain the Jensen inequality of bivariate function based on Wang’s proof method. And we give some examples to illustrate the application of Jensen inequality of bivariate function.

Key concepts: Bivariate analysis, Inequality, Jensen's inequality, Mathematics, Function (biology), Log sum inequality, Mathematical economics, Econometrics

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