Geodesic
Variations on Müntz's Theme
Canadian mathematical bulletin, Tome 34 (1991) no. 3, pp. 305-310

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DOI

We consider some variations of Muntz's classical theorem on when Span{xλi } is dense in C[0,1]. We prove, for example, that if then the collection of spaces is dense in C[0,1] if and only if lim sup(log n)/λn = ∞. Another variation concerns the denseness of the union of spaces of the form The derivations of these results require an examination of the location of the zeros of the associated Chebyshev polynomials.
DOI : 10.4153/CMB-1991-050-8
Mots-clés : 41A50, Miintz Theorem, Markov Systems, Chebyshev Polynomials 
Borwein, Peter B. Variations on Müntz's Theme. Canadian mathematical bulletin, Tome 34 (1991) no. 3, pp. 305-310. doi: 10.4153/CMB-1991-050-8
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     title = {Variations on {M\"untz's} {Theme}},
     journal = {Canadian mathematical bulletin},
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     year = {1991},
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     doi = {10.4153/CMB-1991-050-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-050-8/}
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