Abstract :
In this note, a sufficient condition for summability [N,p
(1)
n , 2] of Fourier series has been obtained
which in conjunction with the author’s Tauberian theorem [M.L. Mittal, A Tauberian theorem on
strong Nörlund summability, J. Indian Math. Soc. 44 (1980) 369–377] on strong Nörlund summability
gives a sufficient condition for summability [C, 1, 2] of a Fourier series. This generalizes results
due to Prasad [G. Prasad, On strong Nörlund summability of Fourier series, Univ. Roorkee Res. J. 9
(1966–1967) 1–10] and Varshney [O.P. Varshney, Note on H2 summability of Fourier series, Boll.
Un. Mat. Ital. 16 (1961) 383–385].
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