Connections between two-variable Bernstein and Jacobi polynomials on the triangle

Authors:
Stanisław Lewanowicz;Paweł Woźny
Affiliations:
Institute of Computer Science, University of Wrocław, Wrocław, Poland;Institute of Computer Science, University of Wrocław, Wrocław, Poland
Venue:
Journal of Computational and Applied Mathematics
Year:
2006

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Abstract

Connection coefficients between the two-variable Bernstein and Jacobi polynomial families on the triangle are given explicitly as evaluations of two-variable Hahn polynomials. Dual two-variable Bernstein polynomials are introduced. Explicit formula in terms of two-variable Jacobi polynomials and a recurrence relation are given.