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.

Subperiodic trigonometric hyperinterpolation

DA FIES, GASPARE
Writing – Review & Editing
;
Sommariva Alvise
Writing – Review & Editing
;
Vianello Marco
Writing – Review & Editing
2018

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.
2018
Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan
9783319724560
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/3281183
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