Hausdorff summability of Fourier series
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Abstract (EN)
The aim of this study which compose of five parts, is to investigate Hausdorff summability of Fourier series. In the first chapter, information about the historical development of the theory of summability is given. In the second chapter, the basic definitions and theorems used in this study are given. In the third chapter, the proof of a theorem with respect to Hausdorff summablity of Fourier series is investigated. Using lemmas to prove this theorem are given. In the fourth chapter, the proof of a theorem with respect to Hausdorff summablity of conjugate series of Fourier series is investigated. In the fifth chapter, firstly it is shown that Euler summability method not Fourier-effective. Next, proof of theorems with respect to Euler summablity of Fourier series and its conjugate series are investigated. Keywords: Fourier series, Hausdorff summability, Euler summability, Bounded variation, Regularity, Moment constant.
Author
Necip Ağca
How to Cite
Necip Ağca (Master Thesis). Hausdorff summability of Fourier series, 2016, Yozgat Bozok University.
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