Notes on stability of the generalized gamma functional equation
The Hyers-Ulam stability in three senses is discussed by Kim (2001) for the generalized gamma functional equation g(x+p)=a(x)g(x) under some conditions which involve convergence of complicated series. In this note, those conditions are simplified to be checked easily and more interesting examples ot...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202112129 |
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| _version_ | 1832559102153195520 |
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| author | Gwang Hui Kim Bing Xu Weinian Zhang |
| author_facet | Gwang Hui Kim Bing Xu Weinian Zhang |
| author_sort | Gwang Hui Kim |
| collection | DOAJ |
| description | The Hyers-Ulam stability in three senses is discussed by Kim
(2001) for the generalized gamma functional equation
g(x+p)=a(x)g(x) under some conditions which involve convergence
of complicated series. In this note, those conditions are
simplified to be checked easily and more interesting examples
other than the classical gamma functional equation are displayed. |
| format | Article |
| id | doaj-art-d8fa75e24f7f4aed9271bfde11c52015 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d8fa75e24f7f4aed9271bfde11c520152025-02-03T01:30:57ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-01321576310.1155/S0161171202112129Notes on stability of the generalized gamma functional equationGwang Hui Kim0Bing Xu1Weinian Zhang2Department of Mathematics, Kangnam University, Suwon 449-702, KoreaDepartment of Mathematics, Sichuan University, Sichuan, Chengdu 610064, ChinaDepartment of Mathematics, Sichuan University, Sichuan, Chengdu 610064, ChinaThe Hyers-Ulam stability in three senses is discussed by Kim (2001) for the generalized gamma functional equation g(x+p)=a(x)g(x) under some conditions which involve convergence of complicated series. In this note, those conditions are simplified to be checked easily and more interesting examples other than the classical gamma functional equation are displayed.http://dx.doi.org/10.1155/S0161171202112129 |
| spellingShingle | Gwang Hui Kim Bing Xu Weinian Zhang Notes on stability of the generalized gamma functional equation International Journal of Mathematics and Mathematical Sciences |
| title | Notes on stability of the generalized gamma functional equation |
| title_full | Notes on stability of the generalized gamma functional equation |
| title_fullStr | Notes on stability of the generalized gamma functional equation |
| title_full_unstemmed | Notes on stability of the generalized gamma functional equation |
| title_short | Notes on stability of the generalized gamma functional equation |
| title_sort | notes on stability of the generalized gamma functional equation |
| url | http://dx.doi.org/10.1155/S0161171202112129 |
| work_keys_str_mv | AT gwanghuikim notesonstabilityofthegeneralizedgammafunctionalequation AT bingxu notesonstabilityofthegeneralizedgammafunctionalequation AT weinianzhang notesonstabilityofthegeneralizedgammafunctionalequation |