MHB Understanding the Cauchy-Schwarz Inequality

Joe20
Messages
53
Reaction score
1
I am not sure what examples to give, need help on this. Have attached the theorem as well.
 

Attachments

  • Untitled.png
    Untitled.png
    5.9 KB · Views: 100
  • 11111.png
    11111.png
    6.4 KB · Views: 107
Physics news on Phys.org
You need to give an example of (i) a divergent sequence that is increasing but not bounded above, and (ii) a divergent sequence that is bounded above but not increasing. This will show that both conditions (increasing and bounded) are needed for the theorem to hold.
 

Thread 'Apparent counter-example to Cauchy-Goursat theorem (Complex Analysis)'

I posted this question on math-stackexchange but apparently I asked something stupid and I was downvoted. I still don't have an answer to my question so I hope someone in here can help me or at least explain me why I am asking something stupid. I started studying Complex Analysis and came upon the following theorem which is a direct consequence of the Cauchy-Goursat theorem: Let ##f:D\to\mathbb{C}## be an anlytic function over a simply connected region ##D##. If ##a## and ##z## are part of...
View full post »

Similar threads

MHB Cauchy-Schwarz Inequality - Duistermaat and Kolk, CH. 1, page 4 .... ....
Replies
1
Views
2K
A How can I Prove the following Integral Inequality?
Replies
2
Views
2K
Schwarz inequality is Cauchy–Schwarz inequality?
Replies
5
Views
5K
MHB Lagrange's Identity and Cauhchy-Schwarz Inequality for complex numbers
Replies
1
Views
6K
MHB How does Remmert derive the Cauchy-Schwarz Inequality in complex functions?
Replies
4
Views
2K
MHB Normed and Inner Product Spaces .... Garling, Corollary 11.3.2 ....
Replies
2
Views
1K
MHB Law of Cosines for C .... Remmert Section 1.3, Ch. 0 ....
Replies
1
Views
1K
MHB How is this inequality obtained?
Replies
5
Views
2K
MHB Absolute Value of Complex Integral
Replies
1
Views
2K
Cauchy schwarz inequality in Rudin
Replies
1
Views
4K

Hot Threads

Recent Insights

Back
Top