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We consider the problem of computing a response surface when the underlying function is known to be convex. We introduce a methodology that incorporates the convexity into the function estimator. The proposed response surface estimator is formulated as a finite dimensional quadratic program and exhibits convergence properties as a global approximation to the true function. Numerical results are presented to illustrate the convergence behavior of the proposed estimator and its potentialdoi:10.1109/wsc.2010.5679068 dblp:conf/wsc/Lim10 fatcat:do27sdxlkbefhd6vogwcu3aebe