Lipschitz conditionとは 意味・読み方・使い方

名詞

Lipschitz condition (複数形 Lipschitz conditions)

1. (analysis) A property which can be said to be held by some point in the domain of a real-valued function if there exists a neighborhood of that point and a certain constant such that for any other point in that neighborhood, the absolute value of the difference of their function values is less than the product of the constant and the absolute value of the difference between the two points.

参照

• Tom M. Apostol (1957) Mathematical Analysis : A Modern Approach to Advanced Calculus, Reading, Massachusetts, U.S.A.: Addison-Wesley Publishing Company, Inc., LCCN 57008707, published 1960, §5-2, page 87