Some cases of Pál-type Birkhoff interpolation on zeros of polynomials with complex coefficients

DOI10.1216/RMJ-2012-42-2-711zbMath1244.41001OpenAlexW2044312039MaRDI QIDQ422065

Geeta Modi, Anil Kumar Pathak, Anita Mandloi

Publication date: 16 May 2012

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1335187174

zbMATH Keywords

regularitypolynomialslacunary interpolationMöbius transformsnon-uniformly distributed nodesPál-type interpolation

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05)

Related Items (2)

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Cites Work

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• A new modification of the Hermite-Fejer interpolation
• Regularity of some `incomplete' Pál-type interpolation problems
• \((0,m)\) Pál-type interpolation on the Möbius transform of roots of unity
• \((0,m)\) Pál-type interpolation: interchanging value- and derivative-nodes
• Pál-type interpolation on nonuniformly distributed nodes on the unit circle
• Birkhoff interpolation on unity and on Möbius transform of the roots of unity
• \((0,2)\) Pál-type interpolation on a circle in the complex plane involving Möbius transforms
• Pál-type Birkhoff interpolation on nonuniformly distributed points

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