Bernstein bases and hahn—eberlein orthogonal polynomials

DOI10.1080/10652469808819188zbMath0942.33006OpenAlexW2062222584MaRDI QIDQ4256021

André Ronveaux, A. Zarzo, Eduardo Paciência Godoy, IvÁn Area

Publication date: 16 August 2000

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469808819188

zbMATH Keywords

orthogonal polynomialsconnection coefficientsHahn polynomialsshifted Jacobi polynomialsBernstein basesHahn-Eberlein polynomials

Mathematics Subject Classification ID

Computer science aspects of computer-aided design (68U07) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (9)

Dual generalized Bernstein basis ⋮ Representation of \((p,q)\)-Bernstein polynomials in terms of \((p,q)\)-Jacobi polynomials ⋮ Algorithms for construction of recurrence relations for the coefficients of the Fourier series expansions with respect to classical discrete orthogonal polynomials ⋮ Formulae relating littleq-Jacobi,q-Hahn andq-Bernstein polynomials: application toq-Bézier curve evaluation ⋮ Multi-degree reduction of Bézier curves with constraints, using dual Bernstein basis polynomials ⋮ Bézier representation of the constrained dual Bernstein polynomials ⋮ Connections between two-variable Bernstein and Jacobi polynomials on the triangle ⋮ Hypergeometric Multivariate Orthogonal Polynomials ⋮ Multivariate generalized Bernstein polynomials: Identities for orthogonal polynomials of two variables

Cites Work

• Unnamed Item
• Corrigendum: Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case
• Discrete Bernstein bases and Hahn polynomials
• Recurrence relations for connection coefficients between two families of orthogonal polynomials
• The special functions and their approximations. Vol. I, II
• Explicit Formula Relating the Jacobi, Hahn and Bernstein Polynomials
• A Positive Kernel for Hahn–Eberlein Polynomials
• Results for some inversion problems for classical continuous and discrete orthogonal polynomials
• New Bounds for Hahn and Krawtchouk Polynomials

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