On the ∣∣N, pn∣∣k Summability of Factored Fourier Series
نویسنده
چکیده
In this paper we deal with a main theorem on the local property of ∣∣N, pn∣∣k, k ≥ 1 summability of factored Fourier series, which generalizes some known results. Mathematics Subject Classification: 40D15, 40G99, 42A24, 42B15
منابع مشابه
Local Properties of Fourier Series
A theorem on local property of |N̄,pn|k summability of factored Fourier series, which generalizes some known results, and also a general theorem concerning the |N̄,pn|k summability factors of Fourier series have been proved.
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HÜSEYİN BOR Abstract. In this paper, a general theorem dealing with the local property of | N̄ , pn, θn |k summability of factored Fourier series has been proved , which generalizes some known results. 2010 AMS Subject Classification: 40G99, 42A24, 42B08.
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Purpose: The purpose of the present paper is to study the product (N, pn) (C, 1) summability of a sequence of Fourier coefficients which extends a theorem of Prasad. Methods: We use Np. C 1 summability methods with dropping monotonicity on the generating sequence {pn − k} (that is, by weakening the conditions on the filter, we improve the quality of digital filter). Results: Let Bn(x) denote th...
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تاریخ انتشار 2010