Relations between some classes of functions (Q2731708)
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scientific article; zbMATH DE number 1626388
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Relations between some classes of functions |
scientific article; zbMATH DE number 1626388 |
Statements
29 May 2002
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modulus of continuity
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modulus of variations
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generalized bounded variation
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generalized Wiener class
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Relations between some classes of functions (English)
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The author considers three classes of functions of generalized bounded variation defined on the unit interval. He gives the necessary and sufficient conditions for the inclusions \(H^{\omega}\subset \text{BV}(p(n)\uparrow\infty)\) and \(V[v(n)]\subset \text{BV}(p(n)\uparrow\infty)\).
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