Orthogonal polynomial projection error measured in Sobolev norms in the unit ball

@article{Figueroa2017OrthogonalPP,
  title={Orthogonal polynomial projection error measured in Sobolev norms in the unit ball},
  author={Leonardo E. Figueroa},
  journal={J. Approx. Theory},
  year={2017},
  volume={220},
  pages={31-43}
}
  • Leonardo E. Figueroa
  • Published 2017
  • Mathematics, Computer Science
  • J. Approx. Theory
  • We study approximation properties of weighted \(L^2\)-orthogonal projectors onto the space of polynomials of degree less than or equal to N on the unit disk where the weight is of the generalized Gegenbauer form \(x \mapsto (1-\left|x\right|^2)^\alpha \). The approximation properties are measured in Sobolev-type norms involving canonical weak derivatives, all measured in the same weighted \(L^2\) norm. Our basic tool consists in the analysis of orthogonal expansions with respect to Zernike… CONTINUE READING

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