Trigonometric Orthogonal Systems

Aleksandar S. Cvetković () and Marija P. Stanić ()
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Aleksandar S. Cvetković: University of Niš
Marija P. Stanić: University of Kragujevac

A chapter in Approximation and Computation, 2010, pp 103-116 from Springer

Abstract: Abstract In this paper, we give a brief survey of orthogonal trigonometric polynomials of semi-integer degree with respect to some weight functions w on [ − π, π). Such orthogonal systems are connected with interpolatory quadrature rules with an even maximal trigonometric degree of exactness.

Keywords: Weight Function; Orthogonal Polynomial; Recurrence Relation; Quadrature Formula; Trigonometric Polynomial (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4419-6594-3_8

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DOI: 10.1007/978-1-4419-6594-3_8

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