Thanks Mr Nicholson for those excellent videos and lessons on Fun. Analy. .. I enjoy them and think that they are so helpful especially regarding the spontaneous speech you deliver in them .. if I can express my idea in such a way .. I hope to bring your attention on the subscript when you define the sequences x barre and y barre .. I do think that it would be better to put x_j barre = x_j over the summation with i from 1 to infinity of modulus of x_i to the power of p all to the power of 1over p .. and put y_k = y_j over the summation with i .....
there is an alt. proof of Hölder's inequality based on concavity of the logarithm function. is that quite an efficent short cut or just a side effect of the proof you provided?
Did you ever stitch these into a Functional Analysis playlist? If so I can’t find it on your channel, and you’re only allowed to scroll to videos at 6 years, it seems. Would be great if I could watch the videos before and after this!
I think the indexing has a slight problem. You wrote, x(bar)_i = x_i / (sum |x_i|^p)^(1/p). I think it would be : x(bar)_i = x_i / (sum |x_j|^p)^(1/p). And also in the proof of x(bar) to belong in l_p, when you were substituting the value of x(bar)_k you should correct the indexing too. I got stuck here and noticed, that's why I just told you.😊
You have no idea how much i love you just cause you made my life easier in class haha!! Thanks man
Thanks Mr Nicholson for those excellent videos and lessons on Fun. Analy. .. I enjoy them and think that they are so helpful especially regarding the spontaneous speech you deliver in them .. if I can express my idea in such a way .. I hope to bring your attention on the subscript when you define the sequences x barre and y barre .. I do think that it would be better to put x_j barre = x_j over the summation with i from 1 to infinity of modulus of x_i to the power of p all to the power of 1over p .. and put y_k = y_j over the summation with i .....
there is an alt. proof of Hölder's inequality based on concavity of the logarithm function. is that quite an efficent short cut or just a side effect of the proof you provided?
Did you ever stitch these into a Functional Analysis playlist? If so I can’t find it on your channel, and you’re only allowed to scroll to videos at 6 years, it seems. Would be great if I could watch the videos before and after this!
thanks!
Ty babe
plz holder inequaliyty in biunded liner opater
I think the indexing has a slight problem.
You wrote,
x(bar)_i = x_i / (sum |x_i|^p)^(1/p).
I think it would be :
x(bar)_i = x_i / (sum |x_j|^p)^(1/p).
And also in the proof of x(bar) to belong in l_p, when you were substituting the value of x(bar)_k you should correct the indexing too.
I got stuck here and noticed, that's why I just told you.😊
The video referred to about the Young's inequality is this one: ua-cam.com/video/yd-GCcou1KI/v-deo.html