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A note on absolute Cesàro summability of Fourier series

A note on absolute Cesàro summability of Fourier series

1. Let f(x) be an integrable function in Lebesgue sense, and periodic of period 2π, and let 1 /(.r)~-^2-tfo +2^(α Λ cos n x + b n sin n x),where a > -1, and An = .\ τι DEFINITION 1.If a > -1, and then the Fourier series of /(ί) …