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Bounds for orthogonal polynomials for exponential weights

โœ Scribed by A.L. Levin; D.S. Lubinsky

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
801 KB
Volume
99
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

Orthogonal polynomials pn(W2,x) for exponential weights W 2 =e -2Q on a finite or infinite interval I, have been intensively studied in recent years. We discuss efforts of the authors to extend and unify some of the theory; our deepest result is the bound Ip,(m2,x)lm(x)l(x -a_,)(x-a,,)l TM <~ c, xEl with C independent of n and x. Here aยฑ~ are the Mhaskar-Rahmanov-Saff numbers for Q and Q must satisfy some smoothness conditions on I.

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