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Results tagged with integration
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user 153260
Questions related to various forms of integration including the Riemann integral, Lebesgue integral, Riemann–Stieltjes integral, double integrals, line integrals, contour integrals, surface integrals, integrals of differential forms, ...
8
votes
A curious norm related to the L¹ norm
I think $C=2$ is the best constant. Consider $\varepsilon>0$ and let $f,g$ continuous in $[0,1]$ defined as follows.
\begin{equation*}
f(x) = \begin{cases} -1, & 0\leq x \leq \frac12 - \varepsilon \\
…
