---
tag: 0EJVD9K0K1
kind: concept
name: Normal convergence
msc: [40A30]
sources:
  - url: https://en.wikipedia.org/wiki/Normal_convergence
    locator: lead section
same_as:
  wikidata: Q1512559
  wikipedia: Normal convergence
---

## Summary

A series of functions converges normally when the series of the suprema of the absolute values of its terms converges. Normal convergence implies uniform and absolute convergence. The node [[normal convergence|0T0EJDGHMB]] gives the precise definition.