Measuring the distance between functions (Q2729369)
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scientific article; zbMATH DE number 1622482
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Measuring the distance between functions |
scientific article; zbMATH DE number 1622482 |
Statements
22 July 2001
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norm of a function
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Hilbert space
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Measuring the distance between functions (English)
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The author discusses various approaches to introducing the notion of a distance between two continuous, differentiable, or integrable functions. Then this notion is used to prove the first ``embeddedness'' theorems (for example, \(C[a,b]\subset L_2[a,b]\)).NEWLINENEWLINEThe article is based on a lecture given by the author for secondary school teachers in the framework of the ``International Soros Science Educational Program'' and is aimed at presenting contemporary developments in mathematics on an elementary level understandable for secondary school teachers and pupils.
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