The paper is devoted partly
to the study of non-absolute Nörlund summability of Fourier series of φ(t) under the
condition φ(t)χ(t) ∈ AC[0,π] for suitable χ(t). The other aspect is to determine
the order of variation of the Harmonic mean of the Fourier series whenever
φ(t)logk∕t ∈ BV [0,π].