Problem A. 563. (May 2012)
A. 563. Let 1p<2 be a real number. Prove that (x+y)p+(z+v)p+(x+z)p+(y+v)pxp+yp+zp+vp+(x+y+z+v)p for all nonnegative real numbers x, y, z and v.
Proposed by Ádám Besenyei, Budapest
Deadline expired on June 11, 2012.
Sorry, the solution is available only in Hungarian. Google translation
A megoldás ITT olvasható.
3 students sent a solution. 4 points: Strenner Péter. 1 point: 1 student. 0 point: 1 student.