An Estimate of the Rate of Convergence of the Fourier Series in the Generalized Hölder Metric by Delayed Arithmetic Mean

We study the rate of convergence problem of the Fourier series by Delayed Arithmetic Mean in the generalized Hölder metric (Hp(w)) space which was earlier introduced by Das, Nath, and Ray and obtain a sharper estimate of Jackson's order.

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Veröffentlicht in:International journal of analysis 2014-01, Vol.2014 (2014), p.1-7
Hauptverfasser: Nayak, L., Ray, B. K., Das, G.
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container_title International journal of analysis
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creator Nayak, L.
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Das, G.
description We study the rate of convergence problem of the Fourier series by Delayed Arithmetic Mean in the generalized Hölder metric (Hp(w)) space which was earlier introduced by Das, Nath, and Ray and obtain a sharper estimate of Jackson's order.
doi_str_mv 10.1155/2014/171675
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title An Estimate of the Rate of Convergence of the Fourier Series in the Generalized Hölder Metric by Delayed Arithmetic Mean
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