A non-stationary subdivision scheme for curve interpolation

(R) function, then the limit function of the scheme approximates the original function quadratically

ON STABILITY OF APPROXIMATE SOLUTIONS OF MINIMIZATION PROBLEMS

In this paper, we investigate stability of the optimal value function and the set of approximate solutions of constrained minimization problems under various perturbations of the objective function and the constraint set. Some interesting applications to approximation theory are also explored

Chebyshev centers and some geometric properties of Banach spaces

In this paper, we study two properties (P1)(P1) and (P2)(P2) introduced in the literature for studying the existence and stability of relative Chebyshev centers. We reformulate these properties in a way that leads naturally to our results. We mainly relate these properties with some geometric properties of Banach spaces. In particular, reflexive spaces having the Kadec-Klee property are characterized in terms of property (P1)(P1) and uniform convexity is characterized in terms of property (P2)(P2). Some continuity results for the center map are also presented

Well-Posedness, Regularization, and Viscosity Solutions of Minimization Problems

by D.V. Pa