Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4607122 | Journal of Approximation Theory | 2014 | 17 Pages |
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
Authors
Vitalii Arestov, Maria Filatova,