Sequential convergence and approximation in the space of Riemann integrable functions (Q1107757)
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scientific article; zbMATH DE number 4065580
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sequential convergence and approximation in the space of Riemann integrable functions |
scientific article; zbMATH DE number 4065580 |
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Sequential convergence and approximation in the space of Riemann integrable functions (English)
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1988
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The authors introduce the notion of sequential convergence in the space of Riemann functions. The space of Riemann integrable functions is shown to be (sequentially) complete but continuous functions are dense in it. This property enables one to discuss problems in approximation theory. The authors utilize this notion of convergence to discuss various interesting consequences in approximation theory.
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sequential convergence
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Riemann functions
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