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Trigonometric Orthogonal Systems

In: Approximation and Computation

Author

Listed:
  • Aleksandar S. Cvetković

    (University of Niš)

  • Marija P. Stanić

    (University of Kragujevac)

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.

Suggested Citation

  • Aleksandar S. Cvetković & Marija P. Stanić, 2010. "Trigonometric Orthogonal Systems," Springer Optimization and Its Applications, in: Walter Gautschi & Giuseppe Mastroianni & Themistocles M. Rassias (ed.), Approximation and Computation, pages 103-116, Springer.
    • Handle: RePEc:spr:spochp:978-1-4419-6594-3_8
    DOI: 10.1007/978-1-4419-6594-3_8
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