Some Convergence Criteria for Fourier Series
Authors
-
Mathematics Department, The Australian National University, Box No. 4, P. O. Canberra, A. C. T
Masako Izumi -
Mathematics Department, The Australian National University, Box No. 4, P. O. Canberra, A. C. TShin-ichi Izumi
DOI:
https://doi.org/10.18311/jims/1968/16781Abstract
Theorem 1. The Fourier series of an even function φ converges to zero at the origin if Φ1(t) = o(t)=o(t) as t → 0 and further if, for any n, there are
m = m(n) > n and m' = m'(n) < n
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