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On Sobolev orthogonal polynomials

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URI: https://hdl.handle.net/10016/23358
ISSN: 0723-0869
DOI: 10.1016/j.exmath.2014.10.002
UXXI: AR/0000017136
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on_marcellan_EM_2015_ps.pdf (749.2 KB)
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2015
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Elsevier
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Abstract
Sobolev orthogonal polynomials have been studied extensively in the past quarter-century. The research in this field has sprawled into several directions and generates a plethora of publications. This paper contains a survey of the main developments up to now. The goal is to identify main ideas and developments in the field, which hopefully will lend a structure to the mountainous publications and help future research.
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Orthogonal polynomials, Sobolev orthogonal polynomials, Approximation by polynomials
Bibliographic citation
Expositiones Mathematicae, 2015, v. 33, Issue 3, pp. 308-352
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