Sum and mean inequalities move in opposite directions

1 · John Cook · May 17, 2020, 1:20 p.m.
Summary
It would seem that sums and means are trivially related; the mean is just the sum divided by the number of items. But when you generalize things a bit, means and sums act differently. Let x be a list of n non-negative numbers, and let r > 0 [*]. Then the r-mean is defined to […]...