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Questions Tagged with "lebesgue integral"

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Prove the series converges almost everywhere

1 answer

Mathematics Asked 2 years ago by Christopher Rose

Two sequences $f_n$ and $g_n$ such that $int_{[0,1]}f_n g_n$ does not go to $0$ as $nrightarrowinfty$, with these conditions on $f_n$ and $g_n$

2 answer

Mathematics Asked 2 years ago

Differentiating under the Integral with Carathéodory.

0 answer

Mathematics Asked 2 years ago by Tom Collinge

A question about measure theory.

1 answer

Mathematics Asked 2 years ago by Rick88

A question for a measurable function $g$ on a finite measure space such that $fgin L^p$ for all $fin L^p$

1 answer

Mathematics Asked 2 years ago by blancket

$f:[0,1]rightarrow[0,1]$, measurable, and $int_{[0,1]}f(x)dx=yimplies m{x:f(x)>frac{y}{2}}geqfrac{y}{2}$.

1 answer

Mathematics Asked 2 years ago

Question regarding measure theory and Lebesgue integral

0 answer

Mathematics Asked 2 years ago

Question about dominated convergence: showing $1_{[tau, tau_j)}$ tends to $0$ a.e. for an approximating sequence of stopping times $tau_j$.

1 answer

Mathematics Asked 3 years ago

Evaluating $lim_{nrightarrowinfty}int_0^nfrac{(1-frac{x}{n})^n}{ne^{-x}}dx$

1 answer

Mathematics Asked 3 years ago

An identity between integral

1 answer

Mathematics Asked 3 years ago by inoc

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