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
n
th order
Dirichlet kernel
. It is named for the
Hungarian
mathematician
Lipt Fejr
(1880–1959).
See also
Gibbs phenomenon
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