Cauchy's functional equation in restricted complex domains
Using a method modified from that used by Pisot and Schoenberg in 1964-1965, a Cauchy's functional equation with restricted domains in the complex field is solved for uniformly continuous solutions.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/69368 |
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| _version_ | 1832566777793478656 |
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| author | Watcharapon Pimsert Vichian Laohakosol Sajee Pianskool |
| author_facet | Watcharapon Pimsert Vichian Laohakosol Sajee Pianskool |
| author_sort | Watcharapon Pimsert |
| collection | DOAJ |
| description | Using a method modified from that used by Pisot and Schoenberg in 1964-1965, a Cauchy's functional equation with restricted domains in the complex field is solved for uniformly continuous solutions. |
| format | Article |
| id | doaj-art-a74b79d9a02c404ea2444cbb601a8af0 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a74b79d9a02c404ea2444cbb601a8af02025-02-03T01:03:19ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/6936869368Cauchy's functional equation in restricted complex domainsWatcharapon Pimsert0Vichian Laohakosol1Sajee Pianskool2Department of Mathematics, Chulalongkorn University, Bangkok 10330, ThailandDepartment of Mathematics, Kasetsart University, Bangkok 10900, ThailandDepartment of Mathematics, Chulalongkorn University, Bangkok 10330, ThailandUsing a method modified from that used by Pisot and Schoenberg in 1964-1965, a Cauchy's functional equation with restricted domains in the complex field is solved for uniformly continuous solutions.http://dx.doi.org/10.1155/IJMMS/2006/69368 |
| spellingShingle | Watcharapon Pimsert Vichian Laohakosol Sajee Pianskool Cauchy's functional equation in restricted complex domains International Journal of Mathematics and Mathematical Sciences |
| title | Cauchy's functional equation in restricted complex domains |
| title_full | Cauchy's functional equation in restricted complex domains |
| title_fullStr | Cauchy's functional equation in restricted complex domains |
| title_full_unstemmed | Cauchy's functional equation in restricted complex domains |
| title_short | Cauchy's functional equation in restricted complex domains |
| title_sort | cauchy s functional equation in restricted complex domains |
| url | http://dx.doi.org/10.1155/IJMMS/2006/69368 |
| work_keys_str_mv | AT watcharaponpimsert cauchysfunctionalequationinrestrictedcomplexdomains AT vichianlaohakosol cauchysfunctionalequationinrestrictedcomplexdomains AT sajeepianskool cauchysfunctionalequationinrestrictedcomplexdomains |