Page 1 of 1
• Problem 2. Let Ni and N2 be any norms on R". Let D C Rp and let f:D+R”. Show that the two statements below are equival
Posted: Wed May 11, 2022 10:07 pm
by answerhappygod
- Problem 2 Let Ni And N2 Be Any Norms On R Let D C Rp And Let F D R Show That The Two Statements Below Are Equival 1 (42.46 KiB) Viewed 29 times
• Problem 2. Let Ni and N2 be any norms on R". Let D C Rp and let f:D+R”. Show that the two statements below are equivalent. Be very careful and explicit in defining the exact constants. (Hint: Ny and N, are equivalent. Why?) (1) The function f is Lipschitz on D with respect to the norm Ni. (2) The function f is Lipschitz on D with respect to the norm N2.