Integral representations of means

The average of two numbers, a and b, can be written as the average of x over the interval [a, b]. This is easily verified as follows. The average is the arithemtic mean. We can represent other means as above if we generalize the pattern to be For the arithmetic mean, φ(x) = x. Logarithmic mean If […] The post Integral representations of means first appeared on John D. Cook....

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