Bernstein's theorem on monotone functions

（重定向自Total monotonicity）

In real analysis, a branch of mathematics, Bernstein's theorem states that every real-valued function on the half-line [0, ∞) that is totally monotone is a mixture of exponential functions. In one important special case the mixture is a weighted average, or expected value.

单词	Total monotonicity
释义	Total monotonicity 英语百科 Bernstein's theorem on monotone functions （重定向自Total monotonicity） In real analysis, a branch of mathematics, Bernstein's theorem states that every real-valued function on the half-line [0, ∞) that is totally monotone is a mixture of exponential functions. In one important special case the mixture is a weighted average, or expected value.
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