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An improved upper bound on the Lebesgue constant of Berrut’s rational interpolation operator

✍ Scribed by Zhang, Ren-Jiang

Book ID: 123387479
Publisher: Elsevier Science
Year: 2014
Tongue: English
Weight: 593 KB
Volume: 255
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2013.06.030

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## Abstract We draw the __n__‐dimensional hypercube in the plane with ${5\over 32}4^{n}-\lfloor{{{{n}^{2}+1}\over 2}}\rfloor {2}^{n-2}$ crossings, which improves the previous best estimation and coincides with the long conjectured upper bound of Erdös and Guy. © 2008 Wiley Periodicals, Inc. J Graph