Hölder Continuity

Hölder Continuity Definition and Properties

In this video, I define the notion of Hölder continuity and show that any Hölder continuous function must be uniformly continuous. I then give some interesting properties of Hölder continuity

[mudkip_btw]

I feel like I slowly learn a lot from your videos just by watching once or twice per week. Things I kind of know about, but since I study physics, don't pay all to much attention to. Thanks a bunch dr. πm!

[themattsone]

Nice Richter Alexander Hold reference 😂😂

[him]

Very nice to see more frequent uploads. Real analysis is a hard subject to learn from Wikipedia articles only

[juanblanc_]

I'm starting in this incredible path of mathematics. Nice to see people teaching with passion and comprehensibility such a complex topic (at least for myself). Greetings from Colombia

[ComplexVariables]

Love a video that starts with a clear, written definition.

[Thisalwerasekara]

The best short and descriptive explanation I've ever seen about Hölder Continuity! Thank you!

[ThinkDifferentlier]

Thank you, I was waiting for a vid about Hölder&Lipschitz continuity.

[srikanthtupurani]

There are so many strange banach spaces with very complex norms which are very useful in pdes. Can you make some video on sobolev spaces.

[insouciantFox]

Wonderful! Just what I wanted, thanks!

[nataliawrozek]

You really helped me millions, I love your energy! I struggled a bit with these continuety stuff and I don't anymore, thanks a lot!

[neilgerace]

FYI Richter means judge. In my German class in high school we studied a novel called "Der Richter und sein Henker" = The Judge and his Hangman.

[pythoncake]

will there by a continuation (pun intended) including a Barbara Salesch reference? :D

[nawzadhogan]

Quick question, if you take (X, d) and (Y, d') to be two metrics, and f : X -> Y a-Holder function with a>1, is f still constant ? The proof given in the case where X = Y = R doesn't apply

[personxy]

sir, Is there about Fourier series convergence?dini condition, dirichlet condition, remann lebesgue lemma, holder continuos condtion, these mess up

[yoav]

This is the easiest scratch work ever!

[aneeshsrinivas]

Why is the wierstrass function holder continuous as you say?

[Happy_Abe]

When alpha is greater than 1, how do we know f(x) is differentiable to make that argument from the derivative being 0?

[AnishThe]

Sir Can you suggest me some resource so that I can master the calculas and up to a great level.
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