A Lipschitzian characterization of approximately differentiable functions

Austin, D.G.

Displaying similar documents to “A Lipschitzian characterization of approximately differentiable functions”

Concerning the measurable boundaries of a real function

C. Goffman, R. Zink (1960)

Fundamenta Mathematicae

Similarity:

Almost Everywhere First-Return Recovery

Michael J. Evans, Paul D. Humke (2004)

Bulletin of the Polish Academy of Sciences. Mathematics

Similarity:

We present a new characterization of Lebesgue measurable functions; namely, a function f:[0,1]→ ℝ is measurable if and only if it is first-return recoverable almost everywhere. This result is established by demonstrating a connection between almost everywhere first-return recovery and a first-return process for yielding the integral of a measurable function.