Approximation of signals belonging to generalized Lipschitz class using-summability mean of Fourier series
نویسندگان
چکیده
Abstract: Degree of approximation of functions of different classes has been studied by several researchers by different summability methods. In the proposed paper, we have established a new theorem for the approximation of a signal (function) belonging to the W(L r , (t))-class by (N, p n , q n )(E, s)-product summability means of a Fourier series. The result obtained here, generalizes several known theorems.
منابع مشابه
Best Approximation of Functions of Generalized Zygmund Class by Matrix-euler Summability Means of Fourier Series (communicated by Hüsein Bor)
The degree of approximation of a function f belonging to Lipschitz class by the Cesàro mean and f ∈ Hα by the Fejér means has been studied by Alexits [4] and Prössdorf [7] respectively. But till now no work seems to have been done to obtain best approximation of functions belonging to generalized Zygmund class, Z (w) r , (r ≥ 1) by product summability means of the form (∆.E1). Z (w) r class is ...
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