<abstract xmlns="http://www.w3.org/1999/xhtml"><p> There are many kinds of the generalization of continuity. T. ˇSal´at raised the question: Can everywhere discontinuous solution of Cauchy functional equation ƒ(<italic>x </italic>+ <italic>y</italic>) = ƒ(<italic>x</italic>) + ƒ(<italic>y</italic>) be continuous in some generalized sense? The paper deals with this question</p></abstract>

There are many kinds of the generalization of continuity. T. ˇSal´at raised the question: Can everywhere discontinuous solution of Cauchy functional equation ƒ(x + y) = ƒ(x) + ƒ(y) be continuous in some generalized sense? The paper deals with this question

Cauchy functional equation and generalized continuity

Comenius University Faculty of Mathematics, Physics and Informtics Department of Mathematics SK–842-48 Bratislava 4 SLOVAKIA

Tatra Mountains Mathematical Publications

{"article-title":"Cauchy functional equation and generalized continuity"}

There are many kinds of the generalization of continuity. T. ˇSal´at raised the question: Can everywhere discontinuous solution of Cauchy functional equation...

Cauchy functional equation and generalized continuity

Published Online: Nov 12, 2012

Page range: 9 - 14

DOI: https://doi.org/10.2478/v10127-009-0043-4

Keywords
Cauchy functional equation, generalized continuity

This content is open access.

Cauchy functional equation and generalized continuity

Published Online: Nov 12, 2012

Page range: 9 - 14

DOI: https://doi.org/10.2478/v10127-009-0043-4

KeywordsCauchy functional equation, generalized continuity

This content is open access.

Keywords
Cauchy functional equation, generalized continuity