319 B
319 B
Math 4121 Lecture 14
Recap
Hankel developedn Riemann's integrabilty criterion.
Definition
Given an interval I\subset[a,b], f:[a,b]\to\mathbb{R} the oscillation of f at I is
\omega(f,I) = \sup_I f - \inf_I f
Theorem
A bounded function f is Riemann integrable if and only if