Generalized Bernstein polynomials and symmetric functions

DOI10.1006/AAMA.2002.0765zbMath1003.05004OpenAlexW2066717565MaRDI QIDQ696797

Linda C. Thiel, Robert P. Boyer

Publication date: 12 September 2002

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/c3c072740b96c3f126da7f02101ccf6506579708

zbMATH Keywords

Schur functionssymplectic groupBernstein polynomialsunitary groupYoung tableauelementary symmetric functionsJones polynomialsgroup charactersvariation diminishingStancu polynomials

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Symmetric functions and generalizations (05E05)

Related Items (3)

Analysis and construction of a family of refinable functions based on generalized Bernstein polynomials ⋮ Compactly supported tight and sibling frames based on generalized Bernstein polynomials ⋮ The regularity analysis of multivariate refinable functions from generalized Bernstein bases and application in remote sensing image compression

Cites Work

• The Cauchy identity for \(Sp(2n)\)
• Quantitative theorems on approximation by Bernstein-Stancu operators
• Characters of the infinite symplectic group -- a Riesz ring approach
• Urn models, approximations, and splines
• Sequences of binomial type with persistent roots
• A new class of modified Bernstein operators
• Compactly supported wavelets and representations of the Cuntz relations
• On Stancu-Mühlbach operators and some connected problems concerning probability distributions
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