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

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.
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2314-498X
2314-4998
DOI:10.1155/2014/171675