衡水学院学报
衡水學院學報
형수학원학보
Journal of Hengshui University
2013年
1期
11~14
,共null页
Taylor公式 凹凸性 极值 函数
Taylor公式 凹凸性 極值 函數
Taylor공식 요철성 겁치 함수
Taylor formula; concavity and convexity; extreme value
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.
利用Taylor公式證明瞭函數的凹凸性、極值的第二充分條件、多元函數的Jensen不等式,驗證瞭兩箇重要極限,併對有關的結論推廣至多元函數.
이용Taylor공식증명료함수적요철성、겁치적제이충분조건、다원함수적Jensen불등식,험증료량개중요겁한,병대유관적결론추엄지다원함수.
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.