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Interpolating polynomial wavelets on [?1,1] [PDF]

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
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On random interpolation polynomials

Mathematical Notes, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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?
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On the convergence of interpolation polynomials

Analysis Mathematica, 1985
Let \(\{x_{\nu}\}^ n_{\nu =1}\) be the roots of the polynomials \(\omega_ n(x)=-n(n-1)\int^{x}_{-1}P_{n-1}(t)dt=(1,x^ 2)P'_{n-1}(x),\quad\) \((n=2,3,...)\), where \(P_{n-1}(x)\) is the Legendre polynomial of degree \(n-1\) with the normalization \(P_{n-1}(1)=1\). Let also \(\{\xi_{\nu}\}^{n-1}_{\nu =1}\) be the roots of \(\omega'_ n(x)=-n(n-1)P_{n-1}(x)
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Polynomials and Interpolations

2013
If selected values of a function are given in a tabular representation, it is often desirable to obtain an easily computable formula which yields both those given values and approximations for in-between points, not included in the table. This procedure is called interpolation.
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Polynomial and Rational Interpolation

1996
Assume that we know n + 1 data points (x i , y i ), with \( x_i ,y_i \in \mathbb{R} \), for i = 0, …, n, in the form of a table of values.
Frank Uhlig, Gisela Engeln-Müllges
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Polynomial interpolation

Boletim da Sociedade Brasileira de Matemática, 1979
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Exceptional points in lossy media lead to deep polynomial wave penetration with spatially uniform power loss

Nature Nanotechnology, 2022
Alexander Yulaev, Sangsik Kim, Qing Li
exaly  

Summability of Interpolating Polynomials

Journal of the London Mathematical Society, 1980
B. Kuttner, B. Sahney
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Simple Local Polynomial Density Estimators

Journal of the American Statistical Association, 2020
Matias D Cattaneo, Michael Jansson
exaly