A product quadrature rule, based on the filtered de la Vallée Poussin polynomial approximation, is proposed for evaluating the finite weighted Hilbert transform in [-1,1]. Convergence results are stated in weighted uniform norm for functions belonging to suitable Besov type subspaces. Several numerical tests are provided, also comparing the rule with other formulas known in literature.

Filtered integration rules for finite weighted Hilbert transforms

Themistoclakis Woula
Co-primo
2022

Abstract

A product quadrature rule, based on the filtered de la Vallée Poussin polynomial approximation, is proposed for evaluating the finite weighted Hilbert transform in [-1,1]. Convergence results are stated in weighted uniform norm for functions belonging to suitable Besov type subspaces. Several numerical tests are provided, also comparing the rule with other formulas known in literature.
2022
Istituto Applicazioni del Calcolo ''Mauro Picone''
Besov spaces
de la Vallée Poussin means
Filtered approximation
Finite Hilbert transform
Polynomial approximation
Quadrature rules
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/414496
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