On the stability of generalized gamma functional equation
We obtain the Hyers-Ulam stability and modified Hyers-Ulam stability for the equations of the form g(x+p)=φ(x)g(x) in the following settings: |g(x+p)−φ(x)g(x)|≤δ, |g(x+p)−φ(x)g(x)|≤ϕ(x), |(g(x+p)/φ(x)g(x))−1|≤ψ(x). As a consequence we obtain the stability theorems for the gamma functional equati...
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171200003598 |
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| _version_ | 1832548650327212032 |
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| author | Gwang Hui Kim |
| author_facet | Gwang Hui Kim |
| author_sort | Gwang Hui Kim |
| collection | DOAJ |
| description | We obtain the Hyers-Ulam stability and modified Hyers-Ulam
stability for the equations of the form g(x+p)=φ(x)g(x) in the following settings:
|g(x+p)−φ(x)g(x)|≤δ, |g(x+p)−φ(x)g(x)|≤ϕ(x), |(g(x+p)/φ(x)g(x))−1|≤ψ(x). As a consequence we obtain the stability theorems for the gamma
functional equation. |
| format | Article |
| id | doaj-art-fd3f405b25d145bc9e5364c6da3b8c9b |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-fd3f405b25d145bc9e5364c6da3b8c9b2025-02-03T06:13:34ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0123851352010.1155/S0161171200003598On the stability of generalized gamma functional equationGwang Hui Kim0Department of Mathematics, Kangnam University, Suwon 449–702, KoreaWe obtain the Hyers-Ulam stability and modified Hyers-Ulam stability for the equations of the form g(x+p)=φ(x)g(x) in the following settings: |g(x+p)−φ(x)g(x)|≤δ, |g(x+p)−φ(x)g(x)|≤ϕ(x), |(g(x+p)/φ(x)g(x))−1|≤ψ(x). As a consequence we obtain the stability theorems for the gamma functional equation.http://dx.doi.org/10.1155/S0161171200003598Functional equationsstability of functional equations Hyers-Ulam stability. |
| spellingShingle | Gwang Hui Kim On the stability of generalized gamma functional equation International Journal of Mathematics and Mathematical Sciences Functional equations stability of functional equations Hyers-Ulam stability. |
| title | On the stability of generalized gamma functional equation |
| title_full | On the stability of generalized gamma functional equation |
| title_fullStr | On the stability of generalized gamma functional equation |
| title_full_unstemmed | On the stability of generalized gamma functional equation |
| title_short | On the stability of generalized gamma functional equation |
| title_sort | on the stability of generalized gamma functional equation |
| topic | Functional equations stability of functional equations Hyers-Ulam stability. |
| url | http://dx.doi.org/10.1155/S0161171200003598 |
| work_keys_str_mv | AT gwanghuikim onthestabilityofgeneralizedgammafunctionalequation |