Article ID Journal Published Year Pages File Type
4607122 Journal of Approximation Theory 2014 17 Pages PDF
Abstract

We solve the problem on the best approximation of the (first-order) differentiation operator by linear bounded operators on the class of twice differentiable functions in the space L2(0,∞)L2(0,∞). The best approximating operator is constructed. The optimal differentiation error is found for twice differentiable functions given with a known error in L2(0,∞)L2(0,∞), and the optimal method is described.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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