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Volumn 70, Issue 2, 2003, Pages 111-119

Inclusion isotonicity of convex-concave extensions for polynomials based on Bernstein expansion

Author keywords

Bernstein polynomials; Bound functions; Control points; Convex hull; Inclusion isotonicity

Indexed keywords

BOUNDARY CONDITIONS; FUNCTION EVALUATION; GRAPH THEORY; PROBLEM SOLVING; THEOREM PROVING;

EID: 0041705250     PISSN: 0010485X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00607-003-1471-7     Document Type: Article
Times cited : (8)

References (10)
  • 1
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    • The Bernstein form of a polynomial
    • (Math. Sci.)
    • Cargo, G.T., Shisha, O.: The Bernstein form of a polynomial. J. Res. Nat. Bur. Standards Sect. B, vol. 70B (Math. Sci.) 1, 79-81 (1966).
    • (1966) J. Res. Nat. Bur. Standards Sect. B , vol.70 B , Issue.1 , pp. 79-81
    • Cargo, G.T.1    Shisha, O.2
  • 3
    • 0029213736 scopus 로고
    • Bernstein form is inclusion monotone
    • Hong, H., Stahl, V.: Bernstein form is inclusion monotone. Computing 55, 43-53 (1995).
    • (1995) Computing , vol.55 , pp. 43-53
    • Hong, H.1    Stahl, V.2
  • 4
    • 0011895775 scopus 로고    scopus 로고
    • Bounds for the range of a bivariate polynomial over a triangle
    • Hungerbühler, R., Garloff, J.: Bounds for the range of a bivariate polynomial over a triangle. Reliable Computing 4, 3-13 (1998).
    • (1998) Reliable Computing , vol.4 , pp. 3-13
    • Hungerbühler, R.1    Garloff, J.2
  • 5
    • 0010457990 scopus 로고    scopus 로고
    • Convex-concave extensions
    • Jansson, C.: Convex-concave extensions. BIT 40, 291-313 (2000).
    • (2000) BIT , vol.40 , pp. 291-313
    • Jansson, C.1
  • 6
    • 0019668976 scopus 로고
    • Bounds on a polynomial
    • Lane, J.M., Riesenfeld, R.F.: Bounds on a polynomial. BIT 21, 112-117 (1981).
    • (1981) BIT , vol.21 , pp. 112-117
    • Lane, J.M.1    Riesenfeld, R.F.2
  • 7
    • 0003915794 scopus 로고
    • Interval methods for systems of equations
    • Cambridge: Cambridge University Press (Encyclopedia of Mathematics and its Applications)
    • Neumaier, A.: Interval Methods for Systems of Equations. Cambridge: Cambridge University Press (Encyclopedia of Mathematics and its Applications) 1990.
    • (1990)
    • Neumaier, A.1
  • 10
    • 0032021831 scopus 로고    scopus 로고
    • Robustness analysis of polynomials with polynomial parameter dependency using Bernstein expansion
    • Zettler, M., Garloff, J.: Robustness analysis of polynomials with polynomial parameter dependency using Bernstein expansion. IEEE Trans. Automat. Contr. 43, 425-431 (1998).
    • (1998) IEEE Trans. Automat. Contr. , vol.43 , pp. 425-431
    • Zettler, M.1    Garloff, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.