未分类题

   设,其中
   
   与v(y)为[0,1]上的连续函数,证明
   

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B.174.24.96:6088/Latex/latex.action?latex=a1xsZWZ0KCB4LHkgXHJpZ2h0KT1cbGVmdFx7XGJlZ2lue2FycmF5fXtjY30gIHhcbGVmdCggMS15%0D%0AIFxyaWdodCkgJnhcbGVxIHksIFxcICAgeVxsZWZ0KCAxLXggXHJpZ2h0KSAmeO%2B8nnkgICBcZW5k%0D%0Ae2FycmF5fQ%3D%3D'
C.174.24.96:6088/Latex/latex.action?latex=dSJcbGVmdCggeCBccmlnaHQpPS12XGxlZnQoIHggXHJpZ2h0KS4%3D'

【参考答案】

当0≤x≤1时,有

所以