This is a collection of MATLAB codes to reproduce all the figures and tables in our paper "On the quadrature exactness in hyperinterpolation", which is available on arxiv 2202.13691.
Please add CVX, the Chebfun Toolbox "chebfun-master" [2], and the code files by S. Foucart for reproducing figures in [1] onto path before running the codes.
[1] COMPUTING A QUANTITY OF INTEREST FROM OBSERVATIONAL DATA by R. DeVore, S. Foucart, G. Petrova, P. Wojtaszczyk. Codes are available at https://www.math.tamu.edu/~foucart/papers.html (item 31). The zip file (reproducible+supplement) also contains CVX.
Please add the sphere_approx_toolbox_v3.0 (can be found in this repository) onto path before running the codes.
Please go to /sphere_approx_toolbox_v3.0/utilities/ and change the bold part of the path '/Users/haoningwu/Documents/MATLAB/hyperinterpolation/sphere_approx_toolbox_v3.0/data/xx' in loadStd.m to your own path storing the sphere_approx_toolbox_v3.0. Otherwise, MATLAB would report error:
The file '/Users/haoningwu/Documents/MATLAB/hyperinterpolation/sphere_approx_toolbox_v3.0/data/xx/xxxx' could not be opened because: No such file or directory