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Let Bm(f) be the Bernstein polynomial of degree m: The Generalized Bernstein polynomials
were introduced in [13]. In the present paper some of their properties are revisited and some applications are presented. Indeed, the stability and the convergence of a quadrature rule on equally spaced knots is studied and a class of curves depending on the shape parameter λ, including both Bézier and Lagrange curves, is introduced.
Mathematics Subject Classification (2010): 41A10, 65D30, 65D17.
Keywords: Linear operators, approximation by polynomials, numerical integration, Computer Aided Geometric Design.
