科研之友
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摘要
Let f be a function of several variables that is n times Peano differentiable. Andreas Fischer proved that if there is a number M such that f(alpha) %26gt;= M or f(alpha) %26lt;= M for each alpha, with vertical bar alpha vertical bar = n, then f is n times differentiable in the usual sense. Here that result is improved to permit the type of one-sided boundedness to depend on alpha.
- 出版日期2013-7
