应用Taylor公式证明相关定理

Proving Correlation Theorem with Taylor Formula

利用Taylor公式证明了函数的凹凸性、极值的第二充分条件、多元函数的Jensen不等式,验证了两个重要极限,并对有关的结论推广至多元函数.

With the Taylor formula, the paper has proved concavity and convexity of functions, second sufficient conditions for extreme value and the Jensen inequality of multivariate function. It has also validated two important limits and extended relative conclusion to the multivariate function.