Favard constant

Favard constant

In mathematics, the Favard constant of order r is defined as

K_r = frac{4}{pi} sumlimits_{k=0}^{infty} left[frac{(-1)^k}{2k+1} right]^{r+1}.

This constant is named after the French mathematician Jean Favard.


This constant is used in solutions of several extremal problems, for example


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