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Subperiodic Trigonometric Hyperinterpolation

In: Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan

Author

Listed:
  • Gaspare Da Fies

    (Aberystwyth University, Department of Mathematics)

  • Alvise Sommariva

    (University of Padova, Department of Mathematics)

  • Marco Vianello

    (University of Padova, Department of Mathematics)

Abstract

Using recent results on subperiodic trigonometric Gaussian quadrature and the construction of subperiodic trigonometric orthogonal bases, we extend Sloan’s notion of hyperinterpolation to trigonometric spaces on subintervals of the period. The result is relevant, for example, to function approximation on spherical or toroidal rectangles.

Suggested Citation

  • Gaspare Da Fies & Alvise Sommariva & Marco Vianello, 2018. "Subperiodic Trigonometric Hyperinterpolation," Springer Books, in: Josef Dick & Frances Y. Kuo & Henryk Woźniakowski (ed.), Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan, pages 283-304, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-72456-0_13
    DOI: 10.1007/978-3-319-72456-0_13
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