Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem A. 563. (May 2012)

A. 563. Let 1\lep<2 be a real number. Prove that (x+y)p+(z+v)p+(x+z)p+(y+v)p\lexp+yp+zp+vp+(x+y+z+v)p for all nonnegative real numbers x, y, z and v.

Proposed by Ádám Besenyei, Budapest

(5 pont)

Deadline expired on June 11, 2012.


Sorry, the solution is available only in Hungarian. Google translation

A megoldás ITT olvasható.


Statistics:

3 students sent a solution.
4 points:Strenner Péter.
1 point:1 student.
0 point:1 student.

Problems in Mathematics of KöMaL, May 2012