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2012/2013 On Internally Strong Świątkowski Functions
Mariola Marciniak, Paulina Szczuka
Real Anal. Exchange 38(2): 259-272 (2012/2013).

Abstract

In this paper we introduce some notions which are related to quasi-continuity and a strong Świątkowski property. We examine the basic properties, the uniform closure, and several varieties of maximal classes for the family of internally strong Świątkowski functions. Moreover we study when the function \(f\) can be expressed as the sum of two internally quasi-continuous functions and the sum of two internally strong Świątkowski functions.

Citation

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Mariola Marciniak. Paulina Szczuka. "On Internally Strong Świątkowski Functions." Real Anal. Exchange 38 (2) 259 - 272, 2012/2013.

Information

Published: 2012/2013
First available in Project Euclid: 27 June 2014

zbMATH: 1301.54033
MathSciNet: MR3261877

Subjects:
Primary: 26A21 , ‎54C30
Secondary: 26A15 , 54C08

Keywords: Darboux function , quasi-continuous function , strong Swiatkowski function

Rights: Copyright © 2012 Michigan State University Press

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