[PDF.81if] Weighted Approximation with Varying Weight (Lecture Notes in Mathematics)

Weighted Approximation with Varying Weight (Lecture Notes in Mathematics)

[PDF.jm41] Weighted Approximation with Varying Weight (Lecture Notes in Mathematics)

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 | #16008135 in Books |  2009-02-22 | Original language:English | PDF # 1 |  9.25 x.28 x6.10l,.41 | File type: PDF | 118 pages

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A new construction is given for approximating a logarithmic potential by a discrete one. This yields a new approach to approximation with weighted polynomials of the form w"n"(" "= uppercase)P"n"(" "= uppercase). The new technique settles several open problems, and it leads to a simple proof for the strong asymptotics on some L p(uppercase) extremal problems on the real line with exponential weights, which, for the case p=2, are equivalent to power- type asymptot...

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