Complex Chebyshev polynomials and generalizations with an application to the optimal choice of interpolating knots in complex planar splines

DOI10.1016/0021-9045(83)90118-1zbMath0508.41007OpenAlexW2039539928MaRDI QIDQ1837858

Gerhard Opfer, Madan Lal Puri

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-9045(83)90118-1

zbMATH Keywords

multi-dimensional splines

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Multidimensional problems (41A63) Approximation by polynomials (41A10) Spline approximation (41A15) Approximate quadratures (41A55)

Cites Work

• A generalization of Chebyshev polynomials
• On the uniqueness of the best uniform extended totally positive monospline
• Complex planar splines
• On convergence and quasiregularity of interpolating complex planar splines
• Some new characterizations of the Chebyshev polynomials
• Some remarks on uniform asymptotic expansions for Bessel functions
• Complex Chebyshev polynomials on circular sectors
• On monosplines with odd multiplicity of least norm
• Complex Chebyshev Polynomials on Circular Sectors with Degree Six or Less
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