---
tag: 0JT92VK307
kind: concept
name: Bernstein polynomial
msc: [41A10]
sources:
  - url: https://en.wikipedia.org/wiki/Bernstein_polynomial
    locator: lead section
same_as:
  wikidata: Q826841
  wikipedia: Bernstein polynomial
---

## Summary

A Bernstein polynomial of a function on $[0, 1]$ is a weighted average of its values at the points $k/n$. For a continuous function, these polynomials converge uniformly to the function. The node [[Bernstein polynomial|0C4VWBFY73]] gives the precise definition.