On the Superstability Related with the 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), f(x+y)±g(x−y)=λg(x)f(y), f(x+y)±g(x−y)=λf(...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2009-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://dx.doi.org/10.1155/2009/503724 |
| Summary: | 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), f(x+y)±g(x−y)=λg(x)f(y), f(x+y)±g(x−y)=λf(x)f(y), f(x+y)±g(x−y)=λg(x)g(y), which can be considered the mixed functional equations of the sine function and cosine function, of the hyperbolic sine function and hyperbolic cosine function, and of the exponential functions, respectively. |
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| ISSN: | 1687-1839 1687-1847 |