Generalized Tschebyscheff of the second kind and Bernstein polynomials change of bases

zbMath1389.42055arXiv1504.01658MaRDI QIDQ2970355

Mohammad A. Alqudah

Publication date: 30 March 2017

Full work available at URL: https://arxiv.org/abs/1504.01658

zbMATH Keywords

gamma functionBernstein basisbasis transformationBézier coefficientgeneralized Tschebyscheff

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Gamma, beta and polygamma functions (33B15) Other hypergeometric functions and integrals in several variables (33C70) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (1)

Generalized Jacobi–Koornwinder’s-type Bernstein polynomials bases transformations

Cites Work

• Unnamed Item
• The Bernstein polynomial basis: a centennial retrospective
• Algorithms for polynomials in Bernstein form
• Transformation of Chebyshev–Bernstein Polynomial Basis
• Orthogonal Polynomials With Weight Function (1 - x)^α( l + x)^β + Mδ(x + 1) + Nδ(x - 1)
• Generalized Chebyshev polynomials of the second kind

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