# Lp convergence

This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt.

[Catalogue presentation and source-binding data](https://ocme.evemisslab.com/data/i18n/catalogue.en.json)



## [Lp convergence](https://ocme.evemisslab.com/en/atlas/atlas-lp-convergence/)

On a common probability space with fixed integer p≥1, Lp convergence means E|X_n−X|^p tends to zero.

atlas-lp-convergence · canonical_mko

[Lp convergence](https://ocme.evemisslab.com/en/mko/mko-lp-convergence/)

## Prerequisite nodes


- [Real random variables on finite sample spaces](https://ocme.evemisslab.com/en/atlas/atlas-random-variable/)
- [Expectation in finite models](https://ocme.evemisslab.com/en/atlas/atlas-expectation/)
- [Absolute value](https://ocme.evemisslab.com/en/atlas/atlas-absolute-value/)
- [Sequence limits and exact tail cutoffs](https://ocme.evemisslab.com/en/atlas/atlas-sequence-limit/)
- [Natural-number powers and principal square roots](https://ocme.evemisslab.com/en/atlas/atlas-power-root/)
- [Sigma-algebras and measure spaces](https://ocme.evemisslab.com/en/atlas/atlas-sigma-algebra-measure-space/)