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Preliminaries

  • Marek Jarnicki
  • Peter Pflug
Part of the Springer Monographs in Mathematics book series (SMM)

Summary

This chapter contains definitions and auxiliary results related to various notions of nowhere differentiability. In particular, in § 2.3, we present a proof of the famous Denjoy–Young–Saks theorem, which may permit the reader to understand better the sense of nowhere differentiability.

References

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    A. Denjoy, Mémoire sur les nombres dérivés des fonctions continues. J. Math. 1, 105–240 (1915)zbMATHGoogle Scholar
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    G.C. Young, On the derivates of a function. Lond. M. S. Proc. 15, 360–384 (1916)MathSciNetzbMATHGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Marek Jarnicki
    • 1
  • Peter Pflug
    • 2
  1. 1.Institute of MathematicsJagiellonian UniversityKrakówPoland
  2. 2.Insitute for MathematicsCarl von Ossietzky University OldenburgOldenburgGermany

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