Lebesgue differentiation theorem
in real analysis, the theorem that, for almost every point, the value of an integrable function is the limiting average taken around the point
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Lebesgue differentiation theorem
Summary
Lebesgue differentiation theorem is a theorem[1]. It draws 123 Wikipedia views per month (theorem category, ranking #179 of 1,306).[2]
Key Facts
- Lebesgue differentiation theorem's instance of is recorded as theorem[3].
- Henri Lebesgue is named after Lebesgue differentiation theorem[4].
- Lebesgue differentiation theorem's part of is recorded as list of theorems[5].
- Lebesgue differentiation theorem's Freebase ID is recorded as /m/0f3jwj[6].
- Lebesgue differentiation theorem's defining formula is recorded as \lim_{r\to0}\frac{\int_{\operatorname{ball}_r(x)}f\,\mathrm d\mu}{\mu(\operatorname{ball}_r(x))}=f(x)\quad\mathrm{a.e.}[7].
- Lebesgue differentiation theorem's maintained by WikiProject is recorded as WikiProject Mathematics[8].
- Lebesgue differentiation theorem's Microsoft Academic ID is recorded as 2778742007[9].
- Lebesgue differentiation theorem's in defining formula is recorded as \mu[10].
- Lebesgue differentiation theorem's in defining formula is recorded as \operatorname{ball}[11].
- Lebesgue differentiation theorem's in defining formula is recorded as r[12].
- Lebesgue differentiation theorem's in defining formula is recorded as \int[13].
- Lebesgue differentiation theorem's in defining formula is recorded as \mathrm{a.e.}[14].
- Lebesgue differentiation theorem's in defining formula is recorded as f[15].
Why It Matters
Lebesgue differentiation theorem draws 123 Wikipedia views per month (theorem category, ranking #179 of 1,306).[2] It has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[16]