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A generalization of a theorem of Wang on the summability of Fourier series

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The object of the present paper is to obtain generalizations of the well-known Wang’s theorem [5] for the (N, p n) summability of the Fourier series off(t), att=x, under the condition ϕα t=o[{Ψ(P τ)}-1], ast→0, where α is a positive integer and Ψ(t) is a steadily increasing function oft.

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References

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Introduced by E. Bompiani.

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Rath, D. A generalization of a theorem of Wang on the summability of Fourier series. Rend. Circ. Mat. Palermo 20, 145–162 (1971). https://doi.org/10.1007/BF02844169

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