On the Summability of a Class of Derived Fourier Series
Canadian mathematical bulletin, Tome 10 (1967) no. 1, pp. 79-84

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Let f(t) be integrable L(-π, π) and periodic with period 2 π and let 1.1 be its Fourier series. The series 1.2 obtained by term by term differentiation of the series (1.1) is called the derived Fourier series of f.
Govil, Narendra K. On the Summability of a Class of Derived Fourier Series. Canadian mathematical bulletin, Tome 10 (1967) no. 1, pp. 79-84. doi: 10.4153/CMB-1967-009-2
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[1] 1. Hardy, G. H., Divergent series. Oxford (1944). Google Scholar

[2] 2. Peterson, G. M., On the summability of a class of Fourier series. Proc, Amer. Math. Soc. 11 (1960), pages 994-998. Google Scholar

[3] 3. Mohanty, R. and Nanda, M., Note on the first Cesaro mean of the derived Fourier series. Proc. Amer. Math. Soc. 5 (1955), pages 566-570. Google Scholar

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