论文标题
产品规则在Stieltjes不同
Consequences of the product rule in Stieltjes differentiability
论文作者
论文摘要
这项工作围绕着在功能产物的stieltjes意义上的可区分性研究。过去已经获得了一阶导数的公式，该公式与通常的表达式相似。本文的目的是考虑到这种行为，以研究在哪些条件下我们可以保证存在更高阶的衍生品，同时在此过程中为Stieltjes衍生物获得了其他一些有趣的结果。我们还研究了两个功能的乘积的规律性。
This work revolves around the study of differentiability in the Stieltjes sense of a product of functions. A formula for the first order derivative has been obtained in the past, which is similar to the usual one with some extra terms in its expression. The aim of this paper is to take this behavior into account to study under which conditions we can guarantee the existence of higher order derivatives, while obtaining some other interesting results for the Stieltjes derivative along the way. We also investigate the regularity of the product of two functions.
