I am trying to prove Hölders inequality for sums but I can't get any further. So far I have proven Young's inequality and then I got stuck. Can anyone help?
I am trying to prove Hölders inequality for sums but I can't get any further. So far I have proven Young's inequality and then I got stuck. Can anyone help?
Thanks in advance.
You need to be more specific. I assume you're talking about with . There is the alternative one for infinite series. Which are you after?
I'm sorry that I did'nt post a specifik formular (I am completely new to this forum and did'nt know how.) I am refering to the one for infinite series.
I'm sorry that I did'nt post a specifik formular (I am completely new to this forum and did'nt know how.) I am refering to the one for infinite series.
Thanks in advance
Well, have you proved the finite case?
We know that for all fixed finite that . Now apply the squeeze theorem and remember that we define to be the limit of the partial sums.