{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T16:57:48Z","timestamp":1776790668616,"version":"3.51.2"},"reference-count":14,"publisher":"American Mathematical Society (AMS)","issue":"267","license":[{"start":{"date-parts":[[2009,10,28]],"date-time":"2009-10-28T00:00:00Z","timestamp":1256688000000},"content-version":"am","delay-in-days":365,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>The DE-Sinc formulas, resulting from a combination of the Sinc approximation formula with the double exponential (DE) transformation, provide a highly efficient method for function approximation. In many cases they are more efficient than the SE-Sinc formulas, which are the Sinc approximation formulas combined with the single exponential (SE) transformations. Function classes suited to the SE-Sinc formulas have already been investigated in the literature through rigorous mathematical analysis, whereas this is not the case with the DE-Sinc formulas. This paper identifies function classes suited to the DE-Sinc formulas in a way compatible with the existing theoretical results for the SE-Sinc formulas. Furthermore, we identify alternative function classes for the DE-Sinc formulas, as well as for the SE-Sinc formulas, which are more useful in applications in the sense that the conditions imposed on the functions are easier to verify.<\/p>","DOI":"10.1090\/s0025-5718-08-02196-0","type":"journal-article","created":{"date-parts":[[2009,4,27]],"date-time":"2009-04-27T13:47:33Z","timestamp":1240840053000},"page":"1553-1571","source":"Crossref","is-referenced-by-count":31,"title":["Function classes for successful DE-Sinc approximations"],"prefix":"10.1090","volume":"78","author":[{"given":"Ken\u2019ichiro","family":"Tanaka","sequence":"first","affiliation":[]},{"given":"Masaaki","family":"Sugihara","sequence":"additional","affiliation":[]},{"given":"Kazuo","family":"Murota","sequence":"additional","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2008,10,28]]},"reference":[{"key":"1","volume-title":"Entire functions","author":"Boas, Ralph Philip, Jr.","year":"1954"},{"key":"2","doi-asserted-by":"publisher","first-page":"141","DOI":"10.2307\/2005140","article-title":"Whittaker\u2019s cardinal function in retrospect","volume":"25","author":"McNamee, J.","year":"1971","journal-title":"Math. 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