Consider bounded functions on a closed interval [a, b] and the corresponding sets of upper and lower sums as in the defi
Posted: Thu May 12, 2022 7:44 am
Consider bounded functions on a closed interval [a, b] and the
corresponding sets of
upper and lower sums as in the definition of the Riemann
integral.
Let SL = {L(f, P ) : P ∈P} and SU = {U (f, P ) : P ∈P}.
Prove that if min SU = max SL then the function is constant on
[a, b].
corresponding sets of
upper and lower sums as in the definition of the Riemann
integral.
Let SL = {L(f, P ) : P ∈P} and SU = {U (f, P ) : P ∈P}.
Prove that if min SU = max SL then the function is constant on
[a, b].