ASYMPTOTIC-BEHAVIOR OF THE L(P)-NORMS AND THE ENTROPY FOR GENERAL ORTHOGONAL POLYNOMIALS

被引：65
作者：
APTEKAREV, AI
BUYAROV, VS
DEGEZA, IS
DEHESA, JS
机构：
[1] MOSCOW MV LOMONOSOV STATE UNIV,MOSCOW,RUSSIA
[2] UNIV GRANADA,GRANADA,SPAIN
来源：
RUSSIAN ACADEMY OF SCIENCES SBORNIK MATHEMATICS | 1995年 / 82卷 / 02期
关键词：
ENTROPY INTEGRALS; INFORMATION ENTROPY; GEGENBAUER POLYNOMIALS; LAGUERRE POLYNOMIALS; HERMITE POLYNOMIALS; STEKLOVS PROBLEM; EXTREMAL POLYNOMIALS;
D O I：
10.1070/SM1995v082n02ABEH003571
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The limit behavior of the sequence of L(p)-norms of orthogonal polynomial is studied. Orthogonal polynomials on both a finite interval and the entire real line are considered. As a corollary, asymptotic formulas for entropy integrals containing orthogonal polynomials are obtained.
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页码：373 / 395
页数：23
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