Integral representations for polynomial projections and their kernels

被引：0

作者：

Ganzburg M.I. ^{[1
]}

机构：

[1] Department of Mathematics, Hampton University, Hampton

来源：

Journal of Mathematical Sciences | 2012年 / 183卷 / 6期

关键词：

biorthonormality; Gegenbauer polynomials; Legendre polynomials; orthogonal polynomials; Polynomial projections;

D O I：

10.1007/s10958-012-0839-7

中图分类号：

学科分类号：

摘要：

In this paper, we discuss the conditions on polynomial projections that allow special integral representations for their kernels. These representations are based on a new biorthonormality criterion. As an application, we obtain new integral representations for the Legendre and Gegenbauer kernels. © 2012 Springer Science+Business Media, Inc.

引用

页码：772 / 778

页数：6

共 4 条

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[2] Chalmers B.L., Metcalf F.T., Shekhtman B., On the computation of minimal projections: millennium report, Applied Mathematics Reviews, 1, pp. 119-156, (2000)
[3] Erdelyi A., Magnus W., Oberhettinger F., Tricomi F.G., Higher Transcendental Functions, 2, (1953)
[4] Franchetti C., Cheney E.W., Minimal projections in L <sub>1</sub> spaces, Duke Math. J., 43, pp. 501-510, (1976)

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