Approximation of functions in the generalized Zygmund class using Hausdorff means
نویسندگان
چکیده
In this paper we investigate the degree of approximation of a function belonging to the generalized Zygmund class [Formula: see text] ([Formula: see text]) by Hausdorff means of its Fourier series. We also deduce a corollary and mention a few applications of our main results.
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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عنوان ژورنال:
دوره 2017 شماره
صفحات -
تاریخ انتشار 2017