Maximal classes for the family of \([\lambda,\rho]\)-continuous functions (Q416392)
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scientific article; zbMATH DE number 6032453
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maximal classes for the family of \([\lambda,\rho]\)-continuous functions |
scientific article; zbMATH DE number 6032453 |
Statements
Maximal classes for the family of \([\lambda,\rho]\)-continuous functions (English)
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10 May 2012
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The authors give the definition of \([\lambda, \rho]\)-continuity of real-valued functions defined on an open interval, which is an example of path continuity. They prove certain properties of \([\lambda, \rho]\)-continuous functions. They also establish results to find the maximal additive class and the maximal multiplicative class for the family of \([\lambda, \rho]\)-continuous functions.
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density of a set at a point
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continuous functions
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approximately continuous functions
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path continuity
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maximal additive class
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maximal multiplicative class
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