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Get Access to Full TextIn the paper some algebraic properties of functions which are preponderantly continuous in O'Malley sense and functions satisfying property A1 are studied. The maximal additive class, the maximal multiplicative class and the maximal class with respect to minimums for these families of functions are described.
Key words: preponderant density; preponderant continuity; maximal additive class; maximal multiplicative class; maximal class with respect to maximums
MSC: Primary 26A99; Secondary 26A15
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Received: 2012-10-23
Accepted: 2013-07-30
Published Online: 2016-04-30
Published in Print: 2016-02-01
This paper has been communicated by Wladyslaw Wilczynski
Citation Information: Mathematica Slovaca, Volume 66, Issue 1, Pages 107–118, ISSN (Online) 1337-2211, ISSN (Print) 0139-9918, DOI: https://doi.org/10.1515/ms-2015-0120.
© 2016 Mathematical Institute Slovak Academy of Sciences.
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