Geodesic
On Density of Generalized Polynomials
Canadian mathematical bulletin, Tome 34 (1991) no. 2, pp. 202-207

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DOI

We consider the density in C[a, b] of generalized polynomials of the form The main point of this note is that total positivity of K(x, t) has little relationship to density: There is a symmetric, analytic, totally positive (in fact ETP (∞)) kernel K for which these generalized polynomials are not dense.
DOI : 10.4153/CMB-1991-032-x
Mots-clés : Generalized polynomials, density, closure, totally positive kernels, positive kernels., 41A30, 41A35. 
Dyn, N.; Lubinsky, D. S.; Shekhtman, Boris. On Density of Generalized Polynomials. Canadian mathematical bulletin, Tome 34 (1991) no. 2, pp. 202-207. doi: 10.4153/CMB-1991-032-x
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     title = {On {Density} of {Generalized} {Polynomials}},
     journal = {Canadian mathematical bulletin},
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     year = {1991},
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-032-x/}
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