Functions of bounded variation and absolutely continuous functions 1 Nondecreasing functions

  • Published 2007

Abstract

Proof Exercise. Definition 2 The function f is sait to be continuous from the right at x0 ∈ (a, b) if f(x0 + 0) = f(x0). It is said to be continuous from the left if f(x0 − 0) = f(x0). A function is said to have a jump discontinuity at x0 if the limits f(x0 ± 0) exist and if |f(x0 + 0)− f(x0 − 0)| > 0. Let x1, x2 . . . be a sequence in [a, b] and let hj > 0 be a sequence of positive numbers such that ∑∞ n=1 hn <∞. The nondecreasing function

Cite this paper

@inproceedings{2007FunctionsOB, title={Functions of bounded variation and absolutely continuous functions 1 Nondecreasing functions}, author={}, year={2007} }