Additive Properties of Certain Classes of Pathological Functions

Alexander B. Kharazishvili

doi:rae/1403894906

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Home > Journals > Real Anal. Exchange > Volume 38 > Issue 2 > Article

2012/2013 Additive Properties of Certain Classes of Pathological Functions

Alexander B. Kharazishvili

Real Anal. Exchange 38(2): 475-486 (2012/2013).

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Abstract

Some additive properties of the following three families of “pathological” functions are briefly discussed: continuous nowhere differentiable functions, Sierpiński-Zygmund functions, and absolutely nonmeasurable functions.

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Alexander B. Kharazishvili. "Additive Properties of Certain Classes of Pathological Functions." Real Anal. Exchange 38 (2) 475 - 486, 2012/2013.

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Published: 2012/2013

First available in Project Euclid: 27 June 2014

zbMATH: 1303.28001

MathSciNet: MR3261891

Subjects:

Primary: 28A05 , 28D05

Secondary: 26A05

Keywords: absolutely nonmeasurable function , additive properties , continuous nowhere differentiable function , Sierpinski-Zygmund function

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Real Anal. Exchange

Vol.38 • No. 2 • 2012/2013

Michigan State University Press

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Alexander B. Kharazishvili "Additive Properties of Certain Classes of Pathological Functions," Real Analysis Exchange, Real Anal. Exchange 38(2), 475-486, (2012/2013)

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