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given a function $h(t)$ is it possible to written it as a difference of two convex functions $h_1(t)$ and $h_2(t)$ as follow?

$h(t)=h_1(t)+h_2(t)$.

To clarify, every function for example $g(t)$ can be written versus even and odd functions as follow $g(t)=f_1(t)+f_2(t)$.

where $f_1(t)=(g(t)+g(-t))/2$ and $f_2(t)=(g(t)-g(-t))/2$.

can we write $h(t)$ versus two convex function like in the case of even and odd functions?

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Hint: Note that convex functions are continuous on the interior of their domain, so a difference of two convex functions also is.

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