Interpolation mixing hyperbolic functions and polynomials

DOI10.1216/RMJ-2018-48-2-443zbMath1396.41002WikidataQ129732693 ScholiaQ129732693MaRDI QIDQ1638043

J. M. Carnicer, Juan Manuel Peña, Esmeralda Mainar

Publication date: 12 June 2018

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

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1528077625

zbMATH Keywords

hyperbolic functionstotal positivityHermite interpolationshape preserving representationsNewton and Aitken-Neville formulae

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Approximation by other special function classes (41A30)

Cites Work

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• On the critical lengths of cycloidal spaces
• Interpolation on cycloidal spaces
• Bernstein operators for exponential polynomials
• The general recurrence relation for divided differences and the general Newton-interpolation-algorithm. With applications to trigonometric interpolation
• C-curves: An extension of cubic curves
• Critical length for design purposes and extended Chebyshev spaces
• A recurrence relation for generalized divided differences with respect to ECT-systems
• A recurrence formula for generalized divided differences and some applications
• A general class of Bernstein-like bases
• On a class of weak Tchebycheff systems
• Shape preserving alternatives to the rational Bézier model

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