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Interpolating polynomial wavelets on [?1,1]

Advances in Computational Mathematics, 2004
The authors use a system of orthogonal polynomials with respect to the four Chebyshev weights, \(1/\sqrt(1-x^2)\), \(\sqrt(1-x^2)\), \(\sqrt{[(1-x)/(1+x)]}\) and \(\sqrt{[(1+x)/(1-x)]}\), with positive leading coefficients and Darboux kernels to construct four interpolating scaling functions and interpolating wavelets with a multiresolution structure ...
Capobianco MR, Themistoclakis W
openaire   +4 more sources

Polynomial Interpolation of the Discrete Logarithm

Designs, Codes and Cryptography, 2002
The paper provides lower bounds on the degree and the sparsity of polynomials interpolating the discrete logarithm in a finite field. The results extend the work of \textit{D. Coppersmith} and \textit{I. E. Shparlinski} [J. Cryptology 13, 339-360 (2000; Zbl 1038.94007)] from finite prime fields to arbitrary finite fields.
openaire   +3 more sources

Interpolation of Polynomials

2018
Corollary 15.10 assures that there is at most one polynomial of degree n and assuming preassigned values in n + 1 given complex numbers. What we still do not know is whether such a polynomial actually exists. For instance, does there exists a polynomial f with rational coefficients, degree 3 and such that f(0) = 1, f(1) = 2, f(2) = 3 and f(3) = 0?
openaire   +1 more source

Summability of Interpolating Polynomials

Journal of the London Mathematical Society, 1980
Kuttner, Brian, Sahney, B.
openaire   +2 more sources

Interpolation and Polynomials

2023
Erik Cuevas   +2 more
openaire   +1 more source

Inversion of Polynomial Matrices by Interpolation

IEEE Transactions on Automatic Control, 1992
P Hippe
exaly  

GRPIA: A New Algorithm for Computing Interpolation Polynomials

Numerical Algorithms, 2019
Hassane Sadok
exaly  

Kötter Interpolation in Skew Polynomial Rings

Designs, Codes, and Cryptography, 2014
Frank Kschischang, Felice Manganiello
exaly  

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