论文标题
关于Lebesgue标准的评论
A Remark on Lebesgue Criterion
论文作者
论文摘要
我们指出了微积分基本定理的存在部分的变体，该变体与Lebesgue分化定理一起构成了一个新的证据，即每个在紧凑的间隔上，每个室内界限都在室内限制的紧凑间隔几乎无处不在。该证明旨在作为Lebesgue分化定理和Riemann集成性标准之间的新联系。
We remark a variant of the existence part of the fundamental theorem of calculus, which, together with the Lebesgue differentiation theorem, constitute a new proof that every Riemann-integrable function on a compact interval having limit everywhere on the interior is almost everywhere continuous with respect to Lebesgue measure. The proof is intended as a new connection between Lebesgue differentiation theorem and Lebesgue criterion of Riemann integrability.
