Abstract
Let x1,…,xn be positive numbers and α≥2. It is known that if ∑i=1nxi≤A, ∑i=1nxiα≥Bα, then for any k such that k≥(A/B)1/(α−1), there are k numbers among x1,…,xn whose sum is bigger than or equal to B. We express this statement saying that a pair of functions (xα,x1/(α−1)) is a Steffensen pair. In this paper we show how to
find many Steffensen pairs.