The proof of the generalized cauchy mean - value theorem with method of interpolation 利用插值法证明推广的柯西中值定理
Based on the rolle mid - value theorem , by using determinant method , the lagrange mid - value theorem and cauchy mid - value theorem are obtained , and some new results are discovered 本文从罗尔中值定理出发,这用行列式理论,不仅证明了拉格朗日中值定理和柯西中值定理,还发现了一些新的结论。
Lagrange and cauchy differential mean value theorem on open interval are obtained based on generalized roll ' s theorem , which make it more expedient to study general character of function defined on open interval by means of derivative 摘要基于推广的罗尔中值定理,得到有限开区间上的拉格朗日中值定理及柯西中值定理,使得利用导数研究开区间上函数的整体性态更为方便。
柯: stalk or branch axe-handle; ...西: west中: hit; fit exactly值: price; value柯西中值定理: cauchy mean value theorem; mean value theorem#cauchy.27s mean value theorem西中值定理: cauchy西中: nishinaka柯西: augustin louis cauchy; cauchy-poisson relations; cauchyschwarz inequality; paul kersey中值: class mid point; mean; median value; medium value; midvalue西中岛: xizhong dao西中里: sojung ri; sojung-ri西中欧: west central europe柯西奥: curcio柯西机: cauchy machine柯西金: kosygin; kosykin柯西列: cauchy sequence柯西莫: cosimo柯西纳: cosina柯西诺: phil cousineau柯西数: cauchynumber; hookenumber柯西特: cursiter柯西网: net价中值: class mean列中值: column mean偏中值: misalignment value