Article ID Journal Published Year Pages File Type
4630002 Applied Mathematics and Computation 2012 9 Pages PDF
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
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