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Cauchy functional equation and generalized continuity

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Tatra Mountains Mathematical Publications
Real Function ’08 Functional Equation, Measures, Integration and Harmonic Analysis

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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

ISSN:
1210-3195
Język:
Angielski
Częstotliwość wydawania:
3 razy w roku
Dziedziny czasopisma:
Mathematics, General Mathematics