On the absolute Nqα -summability of rth derived conjugate series
نویسنده
چکیده
In the year 1921, Nevanlinna [7] suggested and discussed an interesting method of summation called Nq-method. Moursund [5] applied this method for summation of Fourier series and its conjugate series. Later, Moursund [6] developed Nqp-method (where p is a positive integer) and applied it to pth derived Fourier series. Samal [9] discussed Nqαmethod (0 ≤ α < 1) and studied absolute Nqα-summability of some series associated with Fourier series. In his Ph.D. thesis [10] he extended Nqp-method of summation to Nqαmethod for any α ≥ 0 and studied absolute Nqα-summability of Fourier series. Earlier we [8] have studied absolute Nqα-summability of a series conjugate to a Fourier series. In the present paper we shall study the absolute Nqα-summability of rth (r < α) derived series of a conjugate series.
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