\(B\)-splines, hypergeometric functions, Dirichlet averages

DOI10.1016/0021-9045(91)90006-VzbMath0757.41013WikidataQ56058159 ScholiaQ56058159MaRDI QIDQ1180593

B. C. Carlson

Publication date: 27 June 1992

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

zbMATH Keywords

Dirac delta functionDirichlet averagesEuler-Poisson partial differential equationsmultivariate simplex splinesunivariate \(B\)-spline

Mathematics Subject Classification ID

Spline approximation (41A15) Approximation by other special function classes (41A30)

Related Items (max. 100)

\(S\)-function associated with fractional derivative and double Dirichlet average ⋮ Loops, polytopes and splines ⋮ Moments of Dirichlet splines and their applications to hypergeometric functions ⋮ Dirichlet splines as fractional integrals of \(B\)-splines ⋮ Multivariate complex B-splines and Dirichlet averages ⋮ Practical unstructured splines: algorithms, multi-patch spline spaces, and some applications to numerical analysis

Cites Work

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• Multivariate divided differences and multivariate interpolation of Lagrange and Hermite type
• Multivariate splines: a probabilistic perspective
• A constructive approach to Kergin interpolation in \(R^ k\): Multivariate B-splines and Lagrange interpolation
• A practical guide to splines
• On Polya frequency functions. IV: The fundamental spline functions and their limits
• Multivariate Truncated Powers and B-Splines with Coalescent Knots
• Cardinal Interpolation by Multivariate Splines
• Simplified Treatment of Integrals of Cauchy Type, the Hilbert Problem and Singular Integral Equations. Appendix: Poincaré-Bertrand Formula

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