Journal for History of Mathematics (한국수학사학회지)

The Korean Society for History of Mathematics (한국수학사학회)
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On the classical results of Cesàro summability for Fourier series

푸리에 급수에 대한 체사로 총합가능성의 고전적 결과에 관하여

  • Lee, Jung Oh (Dept. of Liberal Arts, Chosun College of Science and Technology)
  • Received : 2016.12.01
  • Accepted : 2017.02.07
  • Published : 2017.02.28
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Abstract

This paper is concerned with the $Ces{\grave{a}}ro$ summability of Fourier series. Many authors have studied on the summability of Fourier series up to now. Also, G. H. Hardy and J. E. Littlewood [5], Gaylord M. Merriman [18], L. S. Bosanquet [1], Fu Traing Wang [24] and others had studied the $Ces{\grave{a}}ro$ summability of Fourier series until the first half of the 20th century. In the section 2, we reintroduce Ernesto $Ces{\grave{a}}ro^{\prime}s$ life and the meaning of mathematical history for $Ces{\grave{a}}ro^{\prime}s$ work. In the section 3, we investigate the classical results of summability for Fourier series from 1897 to the mid-twentieth century. In conclusion, we restate the important classical results of several theorems of $Ces{\grave{a}}ro$ summability for Fourier series. Also, we present the research minor lineage of $Ces{\grave{a}}ro$ summability for Fourier series.

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References

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  1. 푸리에 급수에 대한 총합가능성의 결과들에 관하여 vol.30, pp.4, 2017, https://doi.org/10.14477/jhm.2017.30.4.233