---
tag: 0GFGK40582
kind: concept
name: Pointwise convergence
msc: [40A30]
sources:
  - url: https://en.wikipedia.org/wiki/Pointwise_convergence
    locator: lead section
same_as:
  wikidata: Q1778098
  wikipedia: Pointwise convergence
---

## Summary

A sequence of functions converges pointwise when its values converge at every point of the domain. It is the weakest of the usual modes of convergence for functions. The node [[pointwise convergence|056FSKG32J]] gives the precise definition.