Summability Method of Conjugate Series of Its Fourier Series (communicated by Hüseyin Bor)
نویسندگان
چکیده
Recently, Lal [9] has determined the degree of approximation of function belonging to Lip α and weighted classes using Product C . Np summability with non-increasing weights{pn}. In this paper, we determine the degree of approximation of function f̃ , conjugate to a 2π-periodic function f belonging to Lip (ξ (t), r)−class using semi-monotonicity on the generating sequence {pn} with proper set of conditions. Few applications of approximation of functions will also be highlighted.
منابع مشابه
On the absolute Nqα -summability of rth derived conjugate series
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-summabilit...
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