Asymptotics for entropy integrals associated with exponential weights

Eli Levin; D. S. Lubinsky

doi:10.1016/S0377-0427(02)00915-9

Asymptotics for entropy integrals associated with exponential weights

Eli Levin, D. S. Lubinsky

Mathematics discipline

Research output: Contribution to journal › Article › peer-review

Abstract

We establish a first-order asymptotic for the entropy integrals ∫_I P²_n(log P² _n)W² and ∫_I P²_n(log(P_nW)²)W², where {P_n}^∞_n=0 are the orthonormal polynomials associated with the exponential weight W².

Original language	English
Pages (from-to)	265-283
Number of pages	19
Journal	Journal of Computational and Applied Mathematics
Volume	156
Issue number	2
DOIs	https://doi.org/10.1016/S0377-0427(02)00915-9
State	Published - 15 Jul 2003

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title = "Asymptotics for entropy integrals associated with exponential weights",

abstract = "We establish a first-order asymptotic for the entropy integrals ∫I P2n(log P2 n)W2 and ∫I P2n(log(PnW)2)W2, where {Pn}∞n=0 are the orthonormal polynomials associated with the exponential weight W2.",

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AU - Lubinsky, D. S.

PY - 2003/7/15

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N2 - We establish a first-order asymptotic for the entropy integrals ∫I P2n(log P2 n)W2 and ∫I P2n(log(PnW)2)W2, where {Pn}∞n=0 are the orthonormal polynomials associated with the exponential weight W2.

AB - We establish a first-order asymptotic for the entropy integrals ∫I P2n(log P2 n)W2 and ∫I P2n(log(PnW)2)W2, where {Pn}∞n=0 are the orthonormal polynomials associated with the exponential weight W2.

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VL - 156

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EP - 283

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

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ER -

Asymptotics for entropy integrals associated with exponential weights

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