Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4630002 | Applied Mathematics and Computation | 2012 | 9 Pages |
Abstract
We study theoretically and numerically trigonometric interpolation on symmetric subintervals of [-π,π][-π,π], based on a family of Chebyshev-like angular nodes (subperiodic interpolation). Their Lebesgue constant increases logarithmically in the degree, and the associated Fejér-like trigonometric quadrature formula has positive weights. Applications are given to the computation of the equilibrium measure of a complex circle arc, and to algebraic cubature over circular sectors.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Len Bos, Marco Vianello,