Spherical Bessel functions and critical lengths

DOI10.1007/s13398-022-01365-8OpenAlexW4310276216MaRDI QIDQ2681978

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

Publication date: 31 January 2023

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-022-01365-8

zbMATH Keywords

Bessel functionscritical lengthshape preserving representations

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Approximation by polynomials (41A10) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

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• On the critical lengths of cycloidal spaces
• Generalized B-splines as a tool in isogeometric analysis
• Totally positive bases for shape preserving curve design and optimality of B-splines
• Bernstein operators for extended Chebyshev systems
• Bernstein operators for exponential polynomials
• C-curves: An extension of cubic curves
• Critical lengths of cycloidal spaces are zeros of Bessel functions
• Critical length for design purposes and extended Chebyshev spaces
• Greville abscissae of totally positive bases
• A class of Bézier-like curves
• Turán determinants of Bessel functions
• On inequalities of the Turán type

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