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本文给出求一类函数最小值的定理,并举例说明它的应用。定理若a>|6|>0,f(x)>|g(x)|,则满足条件f~2(x)-g~2(x)=A~2(A>0为常数)的函数 F(x)=af(x)+bg(x)当bf(x)+ag(x)=0时,有最小值
This paper presents a theorem for finding the minimum value of a class of functions and gives an example of its application. Theorem if a>|6|>0,f(x)>|g(x)|, then satisfy the condition f~2(x)-g~2(x)=A~2(A>0 is constant) The function F(x)=af(x)+bg(x) has a minimum value when bf(x)+ag(x)=0