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Bivariate Polynomials of Least Deviation from Zero

  • Borislav D. Bojanov (a1), Werner Haußmann (a2) and Geno P. Nikolov (a3)
Abstract

Bivariate polynomials with a fixed leading term xmyn , which deviate least fromzero in the uniform or L 2-norm on the unit disk D (resp. a triangle) are given explicitly. A similar problem in Lp , 1 ≤ p ≤ ∞, is studied on D in the set of products of linear polynomials.

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References
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Canadian Journal of Mathematics
  • ISSN: 0008-414X
  • EISSN: 1496-4279
  • URL: /core/journals/canadian-journal-of-mathematics
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