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In this paper, we provide the degree reduction algorithm for negative degree Bezier curves. By the uniform parameterization of control polygons and the definition of discrete derivatives of piecewise linear functions, we prove that the degree reduced control polygons and their discrete derivatives converge in the limit to the original negative degree Bezier curve and its continuous derivatives.
The aim of this paper is to study the semilocal convergence of a third order iterative method used for finding fixed points of nonlinear operator equations in Banach spaces.This convergence is established under the assumption that the first Frechet derivative of the involved operator satisfies the Lipschitz continuity condition. The existence and uniqueness regions along with a priori error bounds...
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