Approximation by weighted polynomials
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David Benko
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Article
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2003
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Elsevier Science
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English
β 262 KB
It is proven that if xQ 0 Γ°xΓ is increasing on Γ°0; ΓΎNΓ and wΓ°xΓ ΒΌ expΓ°ΓQΓ°xΓΓ is the corresponding weight on Β½0; ΓΎNΓ; then every continuous function that vanishes outside the support of the extremal measure associated with w can be uniformly approximated by weighted polynomials of the form w n P n :