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http://dx.doi.org/10.14477/jhm.2017.30.4.233
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On the Results of Summability for Fourier series |

Lee, Jung Oh (Dept. of Liberal Arts, Chosun College of Science and Technology) |

Publication Information

Abstract

summability is a generalized convergence criterion for infinite series. We have investigated the classical results of summability for Fourier series from 1897 to 1957. In this paper, we are concerned with the summability and summation methods for Fourier Series from 1960 to 2010. Many authors have studied the subject during this period. Especially, G.M. Petersen, Kanno, S.R. Sinha, Fu Cheng Hsiang, Prem Chandra, G. D. Dikshit, B. E. Rhoades and others had studied neoclassical results on the summability of Fourier series from 1960 to 1989. We investigate the results on the summability for Fourier series from 1990 to 2010 in section 3. In conclusion, we present the research minor lineage on summability for Fourier series from 1960 to 2010. Bor is the earliest researcher on -summability. Thus we consider his research results and achievements on -summability and -summability.

Keywords

summability; Summability of Fourier series; mean; infinite series;

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Times Cited By KSCI :
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