Currently displaying 1 – 20 of 28

Showing per page

Order by Relevance | Title | Year of publication

On Ozeki’s inequality for power sums

Horst Alzer — 2000

Czechoslovak Mathematical Journal

Let p ( 0 , 1 ) be a real number and let n 2 be an even integer. We determine the largest value c n ( p ) such that the inequality i = 1 n | a i | p c n ( p ) holds for all real numbers a 1 , ... , a n which are pairwise distinct and satisfy min i j | a i - a j | = 1 . Our theorem completes results of Ozeki, Mitrinović-Kalajdžić, and Russell, who found the optimal value c n ( p ) in the case p > 0 and n odd, and in the case p 1 and n even.

Page 1 Next

Download Results (CSV)