Generating functions for B-splines with knots in geometric or affine progression

DOI10.1007/s10092-013-0102-8zbMath1316.65020OpenAlexW2169487856MaRDI QIDQ2017980

Gülter Budakçı, Çetin Dişibüyük, Halil Oruç, Ronald N. Goldman

Publication date: 23 March 2015

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-013-0102-8

zbMATH Keywords

generating functionsB-splines\textit{q}-derivatives\textit{q}-exponentialsknots in affine progressionknots in geometric progression

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Exact enumeration problems, generating functions (05A15) (q)-calculus and related topics (05A30) Spline approximation (41A15)

Related Items (2)

A B-spline approach to \(q\)-Eulerian polynomials ⋮ Generalized quantum exponential function and its applications

Cites Work

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• \(B\)-splines with geometric knot spacings
• Interpolation and approximation by polynomials
• Bernstein-Schoenberg operator with knots at the \(p\)-integers
• On calculating with B-splines
• A New Nonparametric Estimation Method of the Variance in Heteroscedastic Model
• Interpolation Function of Generalized q −Bernstein-Type Basis Polynomials and Applications
• Generating Functions for Uniform B-Splines
• Quantum calculus

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