A+ CATEGORY SCIENTIFIC UNIT

On the entropy of Darboux functions

Volume 116 / 2009

Ryszard J. Pawlak Colloquium Mathematicum 116 (2009), 227-241 MSC: 37B40, 26A18, 54H20, 26A15, 37E15. DOI: 10.4064/cm116-2-7

Abstract

We prove some results concerning the entropy of Darboux (and almost continuous) functions. We first generalize some theorems valid for continuous functions, and then we study properties which are specific to Darboux functions. Finally, we give theorems on approximating almost continuous functions by functions with infinite entropy.

Authors

  • Ryszard J. PawlakFaculty of Mathematics and Computer Science
    /L/od/x University
    Banacha 22
    90-238 /L/od/x, Poland
    and
    College of Computer Science
    Rzgowska 17a
    93-008 /L/od/x, Poland
    e-mail

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