Integral representations of the weighted geometric mean and the logarithmic mean
classification
🧮 math.CA
math.CV
keywords
meanintegralfunctionsgeometriclogarithmicrepresentationsweightedauthors
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In the paper, the authors show that the weighted geometric mean and the logarithmic mean are Bernstein functions and establish integral representations of these means by Cauchy's integral theorem in the theory of complex functions.
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