On the Approximation Properties of Cesàro Means of Negative Order of Walsh-Fourier Series
نویسنده
چکیده
In this paper we establish approximate properties of Cesàro (C,−α)-means with α ∈ (0, 1) of Walsh-Fourier series. This result allows one to obtain the condition which is sufficient for the convergence of the means σ−α n (f, x) to f (x) in the L p-metric. We also show that this condition cannot be improved in the case p = 1.
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ورودعنوان ژورنال:
- Journal of Approximation Theory
دوره 115 شماره
صفحات -
تاریخ انتشار 2002