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An estimate of the rate of convergence of Fourier series in the generalized Hölder metric by Deferred Cesàro Mean

✍ Scribed by Nayak, L.; Das, G.; Ray, B.K.


Book ID
124105224
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
712 KB
Volume
420
Category
Article
ISSN
0022-247X

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✍ Arnoud C.M. van Rooij; Frits H. Ruymgaart 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 273 KB

The problem of estimating a density which is allowed to have discontinuities of the first kind is considered. The usual Fourier-type estimator is based on the Dirichlet or sinc kernel and is not suitable to eliminate the Gibbs phenomenon. Fourier4Ses~ro approximation yields the Fejrr kernel which is