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• W2949393090 abstract "In this paper we give lower bounds for the representation of real univariate polynomials as sums of powers of degree 1 polynomials. We present two families of polynomials of degree d such that the number of powers that are required in such a representation must be at least of order d. This is clearly optimal up to a constant factor. Previous lower bounds for this problem were only of order $Omega$($sqrt$ d), and were obtained from arguments based on Wronskian determinants and shifted derivatives. We obtain this improvement thanks to a new lower bound method based on Birkhoff interpolation (also known as lacunary polynomial interpolation)." @default.
• W2949393090 created "2019-06-27" @default.
• W2949393090 creator A5038976894 @default.
• W2949393090 creator A5048679959 @default.
• W2949393090 date "2015-07-08" @default.
• W2949393090 modified "2023-09-27" @default.
• W2949393090 title "Lower Bounds by Birkhoff Interpolation" @default.
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• W2949393090 hasPublicationYear "2015" @default.
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