Full quadrature sums for generalized polynomials with Freud weights

Haewon Joung

doi:10.4134/CKMS.2010.25.2.215

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Commun. Korean Math. Soc. 2010; 25(2): 215-224

Printed June 1, 2010

https://doi.org/10.4134/CKMS.2010.25.2.215

Full quadrature sums for generalized polynomials with Freud weights

Haewon Joung

Inha University

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Abstract

Generalized nonnegative polynomials are defined as products of nonnegative polynomials raised to positive real powers. The generalized degree can be defined in a natural way. In this paper we extend quadrature sums involving $% p$th powers of polynomials to those for generalized polynomials.

Keywords: quadrature sums, Freud weights, generalized polynomials

MSC numbers: 41A55