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http://hdl.handle.net/20.500.12128/19453| Title: | A new approach with new solutions to the Matkowski and Wesołowski problem |
| Authors: | Morawiec, Janusz Zürcher, Thomas |
| Keywords: | Functional equations; Holder continuity; singular functions |
| Issue Date: | 2021 |
| Citation: | "Aequationes Mathematicae" ; Early access (2021), s. 1-16 |
| Abstract: | Based on a result of de Rham, we give a family of functions solving the Matkowski and Wesołowski problem. This family consists of Holder continuous functions, and it coincides cfwith the whole family of solutions to the Matkowski and Wesołowski problem found earlier by a different method. Moreover, applying some results due to Hata and Yamaguti and due to Berg and Kruppel, we prove that there are functions solving the Matkowski and Wesołowski problem that are not H¨older continuous. |
| URI: | http://hdl.handle.net/20.500.12128/19453 |
| DOI: | 10.1007/s00010-021-00788-9 |
| ISSN: | 0001-9054 1420-8903 |
| Appears in Collections: | Artykuły (WNŚiT) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Morawiec_A_new_approach_with_new_solutions_to_the.pdf | 1,02 MB | Adobe PDF | View/Open |
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