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The Arithmetic-Harmonic mean and Landen transformations
2019An elementary transformation on the coefficients of a rational function of degree 2, preserving the value of its integral, is presented.
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A Harmonic Mean Inequality for the Gamma Function
SIAM Journal on Mathematical Analysis, 1974We prove that the harmonic mean of $\Gamma (x)$ and $\Gamma (1/ x)$ is greater than or equal to $\Gamma (1) = 1$ for arbitrary $x > 0$.
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Approximation in the mean by harmonic functions
Journal of Soviet Mathematics, 1975Maz'ya, V. G., Khavin, V. P.
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Harmonic Expectation of Harmonic Mean of Random Variables
An interesting property of harmonic expectation, whose concept had been introduced on the basis of harmonic mean, and which was consequently defined mathematically, has been identified in the current attempt. The property describes an interesting result on harmonic expectation of harmonic mean of random variables.openaire +1 more source

