Necessary conditions for Pareto optimality in simultaneous Chebyshev best approximation

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Necessary conditions for Pareto optimality in constrained simultaneous Chebyshev best approximation, derived from an abstract characterization theory of Pareto optimality, are presented. The generality of the formulation of the approximation problem dealt with here makes the results applicable to a large variety of concrete simultaneous best approximation problems. Some open problems are briefly described.

Original languageEnglish
Pages (from-to)127-134
Number of pages8
JournalJournal of Approximation Theory
Issue number2
StatePublished - Oct 1979
Externally publishedYes

Bibliographical note

Funding Information:
Work for this paper was supported by NIH Grants HL 18968, NL 4664, and RR7. The material presented here is based on part of the author’s doctoral thesis cvritten under the direction of ProfessoAr di Ben-Israeal t the Technion, Haifa, Israel. The author wishes to thank Professor Ben-Israel for his constant help and encoEuragement.

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • General Mathematics
  • Applied Mathematics


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