On sequences of monotone functions (Q1978976)
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scientific article; zbMATH DE number 1449531
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On sequences of monotone functions |
scientific article; zbMATH DE number 1449531 |
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On sequences of monotone functions (English)
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21 May 2000
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Several kinds of convergence (pointwise, uniform, a.c., transfinite) of monotone functions are studied. Namely, the author shows how an increasing function \(f:[a,b]\to \mathbb R\) can be expressed as a limit of certain sequences of monotone functions \(f_n\) converging to \(f\) in various senses.
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continuity
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monotone functions
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convergence
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monotone convergence
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transfinite convergence
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variation
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0.9556799
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0.9316508
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0.9292747
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0.9285046
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0.9263588
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0.9244427
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