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http://dx.doi.org/10.14477/jhm.2014.27.1.081

A Brief Study on Bhatia's Research of L1-Convergence  

Lee, Jung Oh (Dept. of Math., Chosun Univ.)
Publication Information
Journal for History of Mathematics / v.27, no.1, 2014 , pp. 81-93 More about this Journal
Abstract
The $L^1$-convergence of Fourier series problems through additional assumptions for Fourier coefficients were presented by W. H. Young in 1913. We say that they are the classical results. Using modified trigonometric series is the convenience method to study the $L^1$-convergence of Fourier series problems. they are called the neoclassical results. This study concerns with the $L^1$-convergence of Fourier series. We introduce the classical and neoclassical results of $L^1$-convergence sequentially. In particular, we investigate $L^1$-convergence results focused on the results of Bhatia's studies. In conclusion, we present the research minor lineage of Bhatia's studies and compare the classes of $L^1$-convergence mutually.
Keywords
$L^1$-convergence; Fourier coefficients; trigonometric series;
Citations & Related Records
Times Cited By KSCI : 4  (Citation Analysis)
연도 인용수 순위
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