On sampling series based on some combinations of sinc functions

Kivinukk, Andi; Tamberg, Gert
December 2002
Proceedings of the Estonian Academy of Sciences, Physics, Mathem;Dec2002, Vol. 51 Issue 4, p203
Academic Journal
The generalized sampling series given in Jahresber. Deutsch. Math.-Verein., 1988, 90, 1--70 are studied. We introduce some new generalized sampling series which are defined by certain combinations of the sinc functions and find the order of approximation by those series. Sampling series of this kind are motivated by some summation methods of trigonometric Fourier series. Our discussion is based on the Rogosinski-type sampling series.


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