I want to know if any real function can be expressed as: $f(x)=g(x)+h(x)$ such as $g(x)$ is an increasing function and $h(x)$ is a decreasing function? thanks
2026-03-28 04:34:12.1774672452
Can any real function be expressed as sum of increasing and decreasing functions
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The difference of two increasing functions is a function of Bounded Variation. Note that this answers your question.