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http://hdl.handle.net/20.500.12128/10461| Title: | On affine functions with respect to some means |
| Authors: | Nowak, Agata |
| Keywords: | Mean; logarithmic mean; M-affine function; M-convex function; functional equation |
| Issue Date: | 2010 |
| Citation: | Aequationes Mathematicae, Vol. 80 (2010), s, 269–275 |
| Abstract: | The purpose of the present paper is to investigate the functional equation M(f(x), g(y)) = h(N(x, y)), where f, g and h are self-mappings of a real interval I and M, N : I2 → I are functions. In particular, we will show that under appropriate assumptions imposed on the functions M, N the local boundedness of f implies the continuity of g. |
| URI: | http://hdl.handle.net/20.500.12128/10461 |
| DOI: | 10.1007/s00010-010-0029-y |
| ISSN: | 0001-9054 1420-8903 |
| Appears in Collections: | Artykuły (WNŚiT) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Nowak_On_affine_functions_with_respect_to_some_means.pdf | 277,58 kB | Adobe PDF | View/Open |
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