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Sufficient conditions for |/V,pn\ summability of the conjugate series of Fourier series have been obtained earlier. The author obtains here a set of necessary and sufficient conditions for the result. This improves earlier results and provides a unified version of them.doi:10.1090/s0002-9939-1977-0510923-8 fatcat:mh655c5k5nfwzcdvyekfn4ir2q