Rokne, J. Optimal computation of the Bernstein algorithm for the bound of an interval polynomial. (English) Zbl 0475.65007 Computing 28, 239-246 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 Documents MSC: 65D15 Algorithms for approximation of functions 41A17 Inequalities in approximation (Bernstein, Jackson, Nikol’skiĭ-type inequalities) 65G30 Interval and finite arithmetic 41A10 Approximation by polynomials Keywords:Bernstein polynomial; upper and lower bounds; interval polynomials; Bernstein coefficients PDFBibTeX XMLCite \textit{J. Rokne}, Computing 28, 239--246 (1982; Zbl 0475.65007) Full Text: DOI References: [1] Alefeld, G., Herzberger, J.: Einführung in die Intervallrechnung. Mannheim: Bibliographisches Institut 1974. · Zbl 0333.65002 [2] Moore, R. E.: Interval analysis. Englewood Cliffs, N. J.: Prentice-Hall 1966. · Zbl 0176.13301 [3] Rivlin, T.: Bounds on a polynomial. Research of NBS74B, 47–54 (1970). · Zbl 0197.34704 [4] Rokne, J.: Bounds for an interval polynomial. Computing18, 225–240 (1977). · Zbl 0365.65027 · doi:10.1007/BF02253209 [5] Rokne, J.: A note on the Bernstein algorithm for bounds for interval polynomials. Computing21, 159–170 (1979). · Zbl 0391.65001 · doi:10.1007/BF02253136 [6] Rokne, J.: Optimal computation of the Bernstein algorithm for the bound of an interval polynomial. (Freiburger Intervall-Berichte 81/4, University of Freiburg, Federal Republic of Germany.) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.