A method for constructing regularization techniques for equations of the first kind (Q5954715)
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scientific article; zbMATH DE number 1701701
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A method for constructing regularization techniques for equations of the first kind |
scientific article; zbMATH DE number 1701701 |
Statements
A method for constructing regularization techniques for equations of the first kind (English)
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29 September 2002
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A general approach to constructing regularization techniques for equations of the first kind is suggested. The approach is based on well-known methods of approximation theory. A regularizer for the Abel integral equation is constructed, and error estimates of the approximate solution that are sharp with respect to order are obtained for some class of solutions.
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linear operator equation
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regularization
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Abel integral equation
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error estimates
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unbounded linear operator
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