Article ID Journal Published Year Pages File Type
4607695 Journal of Approximation Theory 2011 14 Pages PDF
Abstract

Let {Pn}n=0∞ be an orthogonal polynomial system on the real line with respect to a measure μμ with compact support SS. Following the classical methods, we define a modified Fejér and Jackson summability method for Fourier series with respect to {Pn}n=0∞. There is a discussion for ultraspherical polynomials. Moreover, we give error estimates for positive summability methods.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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