Cauchy functional equation and generalized continuity
Kostyrko, Pavel
Tatra Mountains Mathematical Publications, Tome 43 (2009), / Harvested from Mathematical Institute
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There are many kinds of the generalization of continuity. T. Šalátraised the question: Can everywhere discontinuous solution of Cauchy functional equationf(x + y) = f(x) + f(y)be continuous in some generalized sense? The paper deals with this question.

Publié le : 2009-01-01
DOI : https://doi.org/10.2478/tatra.v44i0.34 
@article{34,
     title = {Cauchy functional equation and generalized continuity},
     journal = {Tatra Mountains Mathematical Publications},
     volume = {43},
     year = {2009},
     doi = {10.2478/tatra.v44i0.34},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/34}
}

Kostyrko, Pavel. Cauchy functional equation and generalized continuity. Tatra Mountains Mathematical Publications, Tome 43 (2009) . doi : 10.2478/tatra.v44i0.34. http://gdmltest.u-ga.fr/item/34/