On the Superstability of the Pexider Type Trigonometric Functional Equation
We will investigate the superstability of the (hyperbolic) trigonometric functional equation from the following functional equations: f(x+y)±g(x−y)=λf(x)g(y) andf(x+y)±g(x−y)=λg(x)f(y), which can be considered the mixed functional equ...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2010-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://dx.doi.org/10.1155/2010/897123 |
| _version_ | 1811251067591065600 |
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| author | Gwang Hui Kim |
| author_facet | Gwang Hui Kim |
| author_sort | Gwang Hui Kim |
| collection | DOAJ |
| description | We will investigate the superstability of the (hyperbolic) trigonometric functional equation from the following functional equations: f(x+y)±g(x−y)=λf(x)g(y) andf(x+y)±g(x−y)=λg(x)f(y), which can be considered the mixed functional equations of the sine function and cosine function, the hyperbolic sine function and hyperbolic cosine function, and the exponential functions, respectively. |
| first_indexed | 2024-04-12T16:14:01Z |
| format | Article |
| id | doaj.art-cb9fe31f131542c2a6e224d9e1723a7e |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-04-12T16:14:01Z |
| publishDate | 2010-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-cb9fe31f131542c2a6e224d9e1723a7e2022-12-22T03:25:47ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-01201010.1155/2010/897123On the Superstability of the Pexider Type Trigonometric Functional EquationGwang Hui KimWe will investigate the superstability of the (hyperbolic) trigonometric functional equation from the following functional equations: f(x+y)±g(x−y)=λf(x)g(y) andf(x+y)±g(x−y)=λg(x)f(y), which can be considered the mixed functional equations of the sine function and cosine function, the hyperbolic sine function and hyperbolic cosine function, and the exponential functions, respectively.http://dx.doi.org/10.1155/2010/897123 |
| spellingShingle | Gwang Hui Kim On the Superstability of the Pexider Type Trigonometric Functional Equation Journal of Inequalities and Applications |
| title | On the Superstability of the Pexider Type Trigonometric Functional Equation |
| title_full | On the Superstability of the Pexider Type Trigonometric Functional Equation |
| title_fullStr | On the Superstability of the Pexider Type Trigonometric Functional Equation |
| title_full_unstemmed | On the Superstability of the Pexider Type Trigonometric Functional Equation |
| title_short | On the Superstability of the Pexider Type Trigonometric Functional Equation |
| title_sort | on the superstability of the pexider type trigonometric functional equation |
| url | http://dx.doi.org/10.1155/2010/897123 |
| work_keys_str_mv | AT gwanghuikim onthesuperstabilityofthepexidertypetrigonometricfunctionalequation |