Some Properties of Orthogonal Polynomials for Laguerre-Type Weights

被引：0
|
作者：
HeeSun Jung
Ryozi Sakai
机构：
[1] Sungkyunkwan University,Department of Mathematics Education
[2] Meijo University,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2011卷
关键词：
Positive Constant; Orthogonal Polynomial; Order Derivative; Large Integer; Interpolation Polynomial;
D O I：
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摘要：
Let [inline-graphic not available: see fulltext], let [inline-graphic not available: see fulltext] be a continuous, nonnegative, and increasing function, and let [inline-graphic not available: see fulltext] be the orthonormal polynomials with the weight [inline-graphic not available: see fulltext]. For the zeros [inline-graphic not available: see fulltext] of [inline-graphic not available: see fulltext] we estimate [inline-graphic not available: see fulltext], where [inline-graphic not available: see fulltext] is a positive integer. Moreover, we investigate the various weighted [inline-graphic not available: see fulltext]-norms ([inline-graphic not available: see fulltext]) of [inline-graphic not available: see fulltext].
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