Representation of ( p , q ) $(p,q)$ -Bernstein polynomials in terms of ( p , q ) $(p,q)$ -Jacobi polynomials

Author:

Soleyman F,Area I,Masjed-Jamei M,Nieto JJ

Funder

Ministerio de Ciencia e Innovación

Consellería de Cultura, Educación e Ordenación Universitaria, Xunta de Galicia

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference20 articles.

1. Bernstein, S: Démonstration du théorème de Weierstrass fondé sur le calcul des probabilities. Commun. Soc. Math. Kharkov 13, 1-2 (1912)

2. Lorentz, GG: Bernstein Polynomials. University of Toronto Press, Toronto (1953)

3. Lupaş, A: A q-analogue of the Bernstein operator. In: Seminar on Numerical and Statistical Calculus (Cluj-Napoca, 1987), pp. 85-92, Preprint, 87-9. Univ. “Babeş-Bolyai”, Cluj-Napoca (1987)

4. Phillips, GM: Bernstein polynomials based on the q-integers. Ann. Numer. Math. 4(1-4), 511-518 (1997)

5. Area, I, Godoy, E, Woźny, P, Lewanowicz, S, Ronveaux, A: Formulae relating little q-Jacobi, q-Hahn and q-Bernstein polynomials: application to q-Bézier curve evaluation. Integral Transforms Spec. Funct. 15(5), 375-385 (2004)

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