Absolute Cesàro summability factors of trigonometric series

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1972 English Publisher:Springer Science and Business Media LLCJournal:Rendiconti del Circolo Matematico di Palermo, volume 21, pages 140-148 (issn: 0009-725X, eissn: 1973-4409,

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Authors: Chandra, Prem;

doi: 10.1007/bf02844238

Absolute Cesàro summability factors of trigonometric series

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Abstract

The author has extended the definition of |C, α|k (α > -1,k ≥1) and has obtained the summability |C, α|k (α > 1/2, 1≥k >0) of the factored trigonometric series which generalises a result of SinghN. [Proc. Edin. Math. Soc., 16 (1968), 71–76].

Keywords

Cesàro, Euler, Nörlund and Hausdorff methods, Convergence and absolute convergence of Fourier and trigonometric series

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