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http://hdl.handle.net/20.500.12128/14415| Title: | A characterization of functions with dense graph in the plane or half-plane |
| Authors: | Gajda, Zbigniew |
| Keywords: | functions; functions with dense graph |
| Issue Date: | 1986 |
| Citation: | Annales Mathematicae Silesianae, Nr 2 (1986), s. 37-46 |
| Abstract: | Let R be the set of all real numbers. In the present paper we shall characterize functions f : R -* R which are either linear or have graph contained and dense in the plane or half-plane determined by a linear function. For this purpose we consider functions satisfying certain limitary conditions which are related to the additivity equation but considerably weaker than that. |
| URI: | http://hdl.handle.net/20.500.12128/14415 |
| ISSN: | 0860-2107 |
| Appears in Collections: | Artykuły (WNŚiT) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Gajda_A_characterization_of_functions.pdf | 487,1 kB | Adobe PDF | View/Open |
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