Cauchy functional equation and generalized continuity
Abstract
There are many kinds of the generalization of continuity. T. Šalát
raised the question: Can everywhere discontinuous solution of Cauchy functional equation
f(x + y) = f(x) + f(y)
be continuous in some generalized sense? The paper deals with this question.
raised the question: Can everywhere discontinuous solution of Cauchy functional equation
f(x + y) = f(x) + f(y)
be continuous in some generalized sense? The paper deals with this question.
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PDFDOI: https://doi.org/10.2478/tatra.v44i0.34