On the estimation of the functional

Abstract

There is considered the functional
inf(sup|f ⁽ⁱ⁾(t)),
The supremum is taken by i = 0, 1, 2, the infimum is taken by the function set KC²([0, 1]), with boundary conditions
f (0) = 1,  f'(0) = 1,  f (1) = 0,  f'(1) = 0.