On a general Hyers-Ulam stability result
In this paper, we prove two general theorems about Hyers-Ulam stability of functional equations. As particular cases we obtain many of the results published in the last ten years on the stability of the Cauchy and quadratic equation.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1995-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171295000287 |
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| _version_ | 1832547599900475392 |
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| author | Costanz Borelli Gian Luigi Forti |
| author_facet | Costanz Borelli Gian Luigi Forti |
| author_sort | Costanz Borelli |
| collection | DOAJ |
| description | In this paper, we prove two general theorems about Hyers-Ulam stability of
functional equations. As particular cases we obtain many of the results published in the last ten
years on the stability of the Cauchy and quadratic equation. |
| format | Article |
| id | doaj-art-be6ec8829554410bbd19f0e4c0207bcb |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1995-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-be6ec8829554410bbd19f0e4c0207bcb2025-02-03T06:44:15ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251995-01-0118222923610.1155/S0161171295000287On a general Hyers-Ulam stability resultCostanz Borelli0Gian Luigi Forti1Dipartimento di Matematica, Universita degli Studi di Milano, via C. Saldini, 50, Milano I-20133, ItalyDipartimento di Matematica, Universita degli Studi di Milano, via C. Saldini, 50, Milano I-20133, ItalyIn this paper, we prove two general theorems about Hyers-Ulam stability of functional equations. As particular cases we obtain many of the results published in the last ten years on the stability of the Cauchy and quadratic equation.http://dx.doi.org/10.1155/S0161171295000287 |
| spellingShingle | Costanz Borelli Gian Luigi Forti On a general Hyers-Ulam stability result International Journal of Mathematics and Mathematical Sciences |
| title | On a general Hyers-Ulam stability result |
| title_full | On a general Hyers-Ulam stability result |
| title_fullStr | On a general Hyers-Ulam stability result |
| title_full_unstemmed | On a general Hyers-Ulam stability result |
| title_short | On a general Hyers-Ulam stability result |
| title_sort | on a general hyers ulam stability result |
| url | http://dx.doi.org/10.1155/S0161171295000287 |
| work_keys_str_mv | AT costanzborelli onageneralhyersulamstabilityresult AT gianluigiforti onageneralhyersulamstabilityresult |