Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2016; 31(4): 811-817

Online first article August 25, 2016      Printed October 31, 2016

https://doi.org/10.4134/CKMS.c150248

Copyright © The Korean Mathematical Society.

Differentiability and non-differentiability points of the Minkowski question mark function

In-Soo Baek

Busan University of Foreign Studies

Abstract

Using the periodic continued fraction, we give concrete examples of the points at which the derivatives of the Minkowski question mark function does not exist. We also give examples of the differentiability points which show that recent apparently independent results are consistent and closely related.

Keywords: Minkowski question mark function, continued fraction

MSC numbers: Primary 26A30; Secondary 28A80

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