Totally positive functions and totally bounded functions on [-1,1]

DOI10.1016/0021-9045(88)90056-1zbMath0654.41001OpenAlexW2005804817MaRDI QIDQ1108499

Lee A. Rubel, Alan L. Horwitz

Publication date: 1988

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(88)90056-1

zbMATH Keywords

Banach spacepositive functionspolynomial Lagrange interpolationtotally bounded function

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Banach spaces of continuous, differentiable or analytic functions (46E15)

Cites Work

• Interpolation by non-negative polynomials
• The theorems on inverse interpolation
• Functions with positive differences
• The space of totally bounded analytic functions
• Restrictions on the zeroes of lagrange interpolants to analytic functions
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