A Note on a Bolzano Function

Authors

Marian E. Daniells, Iowa State College

Document Type

Research

Abstract

At a meeting of the Bohemian philosophical society in December 1921 Dr. Jasek reported the discovery among the papers of Bernhard Bolzano of a manuscript in which is described the construction of a continuous non-differentiable function. This function was devised more than thirty years before Weierstrass constructed his now well-known function. But while Weierstrass proved that his function possessed a derivative at no point, Bolzano showed the non-differentiability of his function only at a countable set of points everywhere dense. It is possible however to prove that the Bolzano function possesses a derivative at no point of the interval.

Publication Date

1940

Journal Title

Proceedings of the Iowa Academy of Science

Volume

47

Issue

1

First Page

273

Last Page

276

Copyright

©1940 Iowa Academy of Science, Inc.

Language

en

File Format

application/pdf

Recommended Citation

Daniells, Marian E. (1940) "A Note on a Bolzano Function," Proceedings of the Iowa Academy of Science, 47(1), 273-276.
Available at: https://scholarworks.uni.edu/pias/vol47/iss1/67