Some Convergence Criteria for Fourier Series

Authors

  • Masako Izumi Mathematics Department, The Australian National University, Box No. 4, P. O. Canberra, A. C. T
  • Shin-ichi Izumi Mathematics Department, The Australian National University, Box No. 4, P. O. Canberra, A. C. T

DOI:

https://doi.org/10.18311/jims/1968/16781

Abstract

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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Published

1968-06-01

How to Cite

Izumi, M., & Izumi, S.- ichi. (1968). Some Convergence Criteria for Fourier Series. The Journal of the Indian Mathematical Society, 32(1-2), 355–379. https://doi.org/10.18311/jims/1968/16781