MAST30026 Lecture 16: Stone-Weierstrass theorem (Part 1)

Автор: metauni

Загружено: 2018-09-18

Просмотров: 9290

Описание:

The Weierstrass approximation theorem says that an arbitrary continuous function on a finite closed interval can be approximated uniformly by polynomials to any desired degree of accuracy. I proved this theorem using Bernstein polynomials.

Lecture notes: http://therisingsea.org/notes/mast300...
The class webpage: http://therisingsea.org/post/mast30026/

Have questions? I hold free public online office hours for this class, every week, all year. Drop in and say Hi! For details see the class webpage.

MAST30026 Lecture 16: Stone-Weierstrass theorem (Part 1)

Доступные форматы для скачивания:

Скачать видео mp4

Информация по загрузке:

Скачать аудио mp3

Похожие видео

MAST30026 Lecture 16: Stone-Weierstrass theorem (Part 2)

MAST30026 Lecture 16: Stone-Weierstrass theorem (Part 2)

The Stone-Weierstrass Theorem - How to approximate functions

The Stone-Weierstrass Theorem - How to approximate functions

Banach Spaces part 1

Banach Spaces part 1

Weierstrass Approximation Theorem with Bernstein Polynomials

Weierstrass Approximation Theorem with Bernstein Polynomials

MAST30026 Lecture 1: What is space? (Part 1)

MAST30026 Lecture 1: What is space? (Part 1)

Стоун-Вейерштрасс: формулировка теоремы

Стоун-Вейерштрасс: формулировка теоремы

MIT 18.100A Real Analysis, Fall 2020

MIT 18.100A Real Analysis, Fall 2020

Weierstrass Polynomial Approximation Theorem

Weierstrass Polynomial Approximation Theorem

Базис Бернштейна

Базис Бернштейна

Richard Feynman. Why.

Richard Feynman. Why.

✓ Новая формула площади прямоугольного треугольника | Ботай со мной #159 | Борис Трушин

✓ Новая формула площади прямоугольного треугольника | Ботай со мной #159 | Борис Трушин

How Ukraine Is Winning Without Advancing | General David Petraeus

How Ukraine Is Winning Without Advancing | General David Petraeus

Lecture 25: Power Series and the Weierstrass Approximation Theorem

Lecture 25: Power Series and the Weierstrass Approximation Theorem

Introduction to the Weierstrauss Approximation Theorem // A Proof with Bernstein Polynomials

Introduction to the Weierstrauss Approximation Theorem // A Proof with Bernstein Polynomials

The First Real Application of Category Theory #SoME3

The First Real Application of Category Theory #SoME3

MAST30026 Lecture 12: Function spaces (Part 1)

MAST30026 Lecture 12: Function spaces (Part 1)

[EM#35] Théorème d'approximation de Weierstrass (Démonstration)

[EM#35] Théorème d'approximation de Weierstrass (Démonstration)

Чудесное доказательство (теорема Птолемея) — Numberphile

Чудесное доказательство (теорема Птолемея) — Numberphile

Lecture 1 | The Fourier Transforms and its Applications

Lecture 1 | The Fourier Transforms and its Applications

MAST30026 Lecture 14: Banach fixed point theorem and Bellman equation

MAST30026 Lecture 14: Banach fixed point theorem and Bellman equation