Expansion about EropoB and Lebesgue
Yan Xu · Science Technology and Engineering · 2008
The strength of hypothesis in both EropoB Theorem and Lebesgue Theorem-The function fm(m=1,2…) which is finite almost everywhere on E(abbreviated to fm is finite a.e on E)is measurable.-can be weakened fm(m=1,2…)is a measurable function on E;The strength of the hypothesisf is finite a.e on Ecan be weakened as f is finite a.e on E or f is infinite a.e on E.Under this condition that the strength of the hypothesis is weakened,the relationships are analyzed among these three kinds of convergence.