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SOLUTION TO PROBLEM #1625 PROPOSED BY
 

Summary: SOLUTION TO PROBLEM #1625
PROPOSED BY
MIH`ALY BENCZE, ROMANIA.
Beiment Teclezghi and Tewodros Amdeberhan
BTeclezghi@NJCU.edu, amdberha@admin.nj.devry.edu
Problem #1625: [P] Let x1, x2, . . . , xn be positive real numbers and let a1, a2, . . . , an be positive
integers. Prove that
(1)
n
k=1
(1 + x
1/ak
k )ak


1 +
n
k=1
xk
1/

  

Source: Amdeberhan, Tewodros - Department of Mathematics, Tulane University

 

Collections: Mathematics