Smoluk, Antoni
2016
Mathematical Economics, 2016, Nr 12 (19), s. 39-52
eng
Maciuk, Arkadiusz
semigroup
Mathematical Economics, 2016, Nr 12 (19)
power series
The study shows that the functional equation f (f (x)) = ln(1 + x) has a unique result in a semigroup of power series with the intercept equal to 0 and the function composition as an operation. This function is continuous, as per the work of Paulsen [2016]. This solution introduces into statistics the law of the one-and-a-half logarithm. Sometimes the natural growth processes do not yield to the law of the logarithm, and a double logarithm weakens the growth too much. The law of the one-and-a-half logarithm proposed in this study might be the solution
Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
fractional iteration
logarithm
application/pdf
application/pdf
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Remarks about the square equation : functional square root of a logarithm
artykuł
DOI: 10.15611/me.2016.12.04
functional square root