On generalized least square approximation

Authors: Phan Thanh Tùng, Mai Hải An, Phùng Văn Mạnh,

https://doi.org/10.14658/pupj-drna-2019-1-10

Publisher, magazine: ,

Publication year: 2019

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Abstract

We study generalized least square approximation polynomials which are built from sets of functionals. We construct sets of functionals for bivariate harmonic functions, univariate holomorphic functions and sufficiently smooth functions on curves such that the sequences of the generalized least square approximation polynomials converge uniformly.

Tags: Least square approximation, Admissible meshes, Radon projections.