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The Resolution of Some Conjectures via a Remez-Type Inequality for Muntz Spaces

Borwein, Peter and Erdelyi, Tamas (1993) The Resolution of Some Conjectures via a Remez-Type Inequality for Muntz Spaces. [Preprint]

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      Abstract

      Two relatively long standing conjectures concerning Muntz polynomials are resolved. The central tool is a bounded Remez-type inequality for non-dense Muntz spaces.

      Item Type: Preprint
      Additional Information: pubdom FALSE
      Uncontrolled Keywords: Remez inequality, Muntz's theorem, Muntz spaces, Dirichlet sums, density
      Subjects: 26-xx Real functions > 26Dxx Inequalities
      41-xx Approximations and expansions > 41Axx Approximations and expansions
      30-xx Functions of a complex variable > 30Bxx Series expansion
      Faculty: UNSPECIFIED
      Depositing User: Users 1 not found.
      Date Deposited: 16 Nov 2003
      Last Modified: 21 Apr 2010 11:13
      URI: https://docserver.carma.newcastle.edu.au/id/eprint/67

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