Bernstein's theorem on monotone functions
id:
bernstein-s-theorem-on-monotone-functions-280-9727329
title:
Bernstein's theorem on monotone functions
text:
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. Total monotonicity of a function f means that f is continuous on [0, ∞), infinitely differentiable on, and satisfies for all nonnegative integers n and for all t > 0. Another convention puts the opposite inequality in the abov
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wiki
category slug:
encyclopedia
description:
Mathematical theorem
original url:
https://en.wikipedia.org/wiki/Bernstein%27s_theorem_on_monotone_functions
date created:
date modified:
2024-03-24T11:14:32Z
main entity:
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