Matematické Fórum

Skrytý text:

is ACUTE-angled triangle, then . Function is convex and and . So, for from Jensen inequality we get .
Function is convex , because . So, from Jensen inequality we get . From and we get .
Edit: Let be equilateral, then . So
is right-angled triangle, is non define.
is obtuse-angled triangle, , a .
For : . So and . From we get .
If is even then and
then , because is rising -it doesn t have minimum.
If is odd, then , http://www.wolframalpha.com/input/?i=mi … *x%29%29^n then it doesn t have minimum.
EDIT: Thanks to check_drummer for his advice.:)

Skrytý text:
although i have  any solution for that but as seen that right for acute angle i.e