Fejr Kernel

In mathematics, the Fejr kernel is used to express the effect of Cesro summation on Fourier series. It is a positive kernel, giving rise to an approximate identity. The Fejer kernel is defined as
F_n(x) = \frac{1}{n} \sum_{k=0}^{n-1}D_k(x),
where
D_k(x)
is the nth order Dirichlet kernel. It is named for the Hungarian mathematician Lipt Fejr (1880–1959).

See also

 

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