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http://hdl.handle.net/20.500.12128/3652| Title: | On sandwich theorem for delta-subadditive and delta-superadditive mappings |
| Authors: | Olbryś, Andrzej |
| Keywords: | additive mapping; delta-subadditive mapping; delta-superadditive mapping; Functional inequality |
| Issue Date: | 2017 |
| Citation: | Results in Mathmatics, Vol. 72 no. 1/2 (2017 |
| Abstract: | In the present paper, inspired by methods contained in Gajda and Kominek (Stud Math 100:25–38, 1991) we generalize the well known sandwich theorem for subadditive and superadditive functionals to the case of delta-subadditive and delta-superadditive mappings. As a consequence we obtain the classical Hyers–Ulam stability result for the Cauchy functional equation. We also consider the problem of supporting delta-subadditive maps by additive ones. |
| URI: | http://hdl.handle.net/20.500.12128/3652 |
| DOI: | 10.1007/s00025-016-0627-7 |
| ISSN: | 1422-6383 |
| Appears in Collections: | Artykuły (WNŚiT) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Olbrys_On_sandwich_theorem_for_delta_subadditive.pdf | 537,31 kB | Adobe PDF | View/Open |
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