This is a basic introduction to Holder's inequality, which has many applications in mathematics. A simple case in R^n is discussed with a proof provided.
Thank you! I have now posted some related videos on Minkowski's inequality, metric spaces and also you might like to see some applications in my "Research in Mathematics" playist.
Hey, Dr. Tisdell. You are just making this conception crystal clear for me. I was stuck in the Wikipedia for hours trying to understand the proof. Great job!
My pleasure. Thanks. If you really, really enjoyed it (and you think the Wiki article is in need) then you could always put a link to this video at the bottom of the Wikipedia page.
Thanks Dr. Tisdell. Both the idea of Holder's Inequality and its proof are now much clear. I was wondering in case you have come across Holder's condition as well. I am trying to understand the concept of multifractals (by Dr. Benoit Mandelbrot), and Holder's condition is extensively used. Similar video on that would be interesting as well. Thanks again!
i have seen this video three times, i simply love it. how an application of a simple idea of homogenity makes a proof intuitively appealing. I take this opportunity to request you to demonstrate/prove pick,s theorem, another interesting gem
Wow, never expected watching the generalization of Cauchy-Schwarz would make the statement of their inequality super obvious. CS simply says that the projection of 2 vectors is never greater than the product of the lengths of the vectors. Took me a few hours to get it but there it is ^^ (oh and good lesson professor)
If I were to cite this and your Minkowski inequality in my class notes (for a convex optimization course I am taking), do you have a pdf url of the paper you are working from?
dear sir, thanks for all your efforts in teaching mathematics, you really helped me to understand these subjects very well. is there any way that I can access the documents you are showing in your videos?
good night doctor, Could you provide me with a link to the application video of this theory please, it would be of great help, or if you could advise me with the resolution of an exercise of this inequality, I would appreciate it infinitely. Greetings from ciudad del carmen in mexico.
Hi,I found this extremely helpful,Can u please let me know whether you have illustrated all other inequalities like Minkowski's inequality,Lipanov inequality,Jensen's inequality,Chebyshev inequality?
If Holder's inequality is true, then you can use the "homogeneity" principle... but I don't think you ever showed that Holder's inequality is actually true...
Hold the Door's Inequality
That was a great proof. I really enjoyed how you gave some concrete examples to make the abstractions clearer. Thank you!
Thank you! I have now posted some related videos on Minkowski's inequality, metric spaces and also you might like to see some applications in my "Research in Mathematics" playist.
Hey, Dr. Tisdell. You are just making this conception crystal clear for me. I was stuck in the Wikipedia for hours trying to understand the proof. Great job!
My pleasure. Thanks. If you really, really enjoyed it (and you think the Wiki article is in need) then you could always put a link to this video at the bottom of the Wikipedia page.
Dr Chris Tisdell
Well, of course I will do that. Thank you.
Longsheng Jiang Thank you and best of luck with your mathematics.
For me it is an absolute masterpiece!
Thanks Dr. Tisdell.
Both the idea of Holder's Inequality and its proof are now much clear.
I was wondering in case you have come across Holder's condition as well. I am trying to understand the concept of multifractals (by Dr. Benoit Mandelbrot), and Holder's condition is extensively used.
Similar video on that would be interesting as well.
Thanks again!
i have seen this video three times, i simply love it. how an application of a simple idea of homogenity makes a proof intuitively appealing.
I take this opportunity to request you to demonstrate/prove pick,s theorem, another interesting gem
Thanks. It is a fascinating idea of homogeneity. I'll try to prove similar interesting things.
Beautiful video, I could easily follow though I'm only a high school student. Thanks a lot, Dr. Tisdell!
Now, I understand what the Holders inequality is. Thank you!!!
Wow, never expected watching the generalization of Cauchy-Schwarz would make the statement of their inequality super obvious. CS simply says that the projection of 2 vectors is never greater than the product of the lengths of the vectors. Took me a few hours to get it but there it is ^^ (oh and good lesson professor)
Thank you for your video.
It helps me a lot in learning. :)
Great! Thanks for sharing and best wishes to all in TX.
Thanx for the videos they are life saving
Brilliant video! Helps a lot in one of graduate courses, Computational Mathematics, in which I am struggling.. :(
Pls keep it up!
Very interesting!! Thanks for the video
Agreed. I will try to find them.
This is going to my facebook, and its helpful as hell! thanks so much!
Glad you found it useful.
Thanks for the videos!!
If I were to cite this and your Minkowski inequality in my class notes (for a convex optimization course I am taking), do you have a pdf url of the paper you are working from?
HI Peter. I would recommend just citing the video.
First time I ever did a youtube citation;) btw. Your derivation and presentation was very clear and understandable. Thank you very much.
thx dr. plz how we can proof hölder's inequality for function using minkowski's inequality and thx sir
dear sir, thanks for all your efforts in teaching mathematics, you really helped me to understand these subjects very well. is there any way that I can access the documents you are showing in your videos?
My pleasure! Thanks!
Thanks you.
in The OIM 2011 shortlist
they talked about a variant of Holder inequality
can you explain to me?
Thank you, this was very helpful.
Thank a lot. This helps me in my reading.
Is there any schwartz inequality in functional analysis?
Super clear!
Nice. Please make more videos like this one!
Professor Chris Tisdell - You are a BA, my friend!
nice and very illustrative :-) keep it up with some more videos
Dr you are amazing ...👍
Hi. Thanks you for posting this. Is the pdf available in any site?
good night doctor,
Could you provide me with a link to the application video of this theory please, it would be of great help, or if you could advise me with the resolution of an exercise of this inequality, I would appreciate it infinitely.
Greetings from ciudad del carmen in mexico.
Hi,I found this extremely helpful,Can u please let me know whether you have illustrated all other inequalities like Minkowski's inequality,Lipanov inequality,Jensen's inequality,Chebyshev inequality?
Hi. I will try to find the PDF.
The best proof ever!
My pleasure.
Thank you sir.
We know that holder's inequality is used to prove the Minkowski's inequality. what are the other application of this inequality.
Dear Dr.Tisdell
Do you have any PDF lectures about (Hilbert space) such as Holder's inequality
if you have please can tell me
My pleasure. If you want to see some applications of this inequality then check out my "Research" playlist.
Excelente video
Sir may I know how we can tell holder's inequality is true for infinite sequences
Thanks! If you are interested in applications of Holder's inequality then check out my "Research in Mathematics" playlist.
thank you
Thank you.
Thanks. Please see my playlist on Mathematical Analysis for more videos on inequalities.
Thanx alot . It would be good if you also share the notes you used in presentation.
thanks a lot !
Thank you
Helpfull
this guys good
Thanks.
Nice
Hi - you're welcome.
please make a video
If Holder's inequality is true, then you can use the "homogeneity" principle... but I don't think you ever showed that Holder's inequality is actually true...
I was following and all was clear until u completely lost me at 9:00