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, GASPAREWriting – Review & Editing
;Sommariva AlviseWriting – Review & Editing
;Vianello MarcoWriting – 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.
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