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Cauchy functional equation and generalized continuity

Pavel Kostyrko

Pavel Kostyrko

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Kostyrko, Pavel
  
Nov 12, 2012
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Published Online: Nov 12, 2012
Page range: 9 - 14
DOI: https://doi.org/10.2478/v10127-009-0043-4
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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

Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, General Mathematics
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