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 |
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doaj-f3844e7855c14fedb307283c3effccaf2020-11-25T01:49:47ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472009-01-01200910.1155/2009/503724On the Superstability Related with the 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), 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. http://dx.doi.org/10.1155/2009/503724 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Gwang Hui Kim |
| spellingShingle |
Gwang Hui Kim On the Superstability Related with the Trigonometric Functional Equation Advances in Difference Equations |
| author_facet |
Gwang Hui Kim |
| author_sort |
Gwang Hui Kim |
| title |
On the Superstability Related with the Trigonometric Functional Equation |
| title_short |
On the Superstability Related with the Trigonometric Functional Equation |
| title_full |
On the Superstability Related with the Trigonometric Functional Equation |
| title_fullStr |
On the Superstability Related with the Trigonometric Functional Equation |
| title_full_unstemmed |
On the Superstability Related with the Trigonometric Functional Equation |
| title_sort |
on the superstability related with the trigonometric functional equation |
| publisher |
SpringerOpen |
| series |
Advances in Difference Equations |
| issn |
1687-1839 1687-1847 |
| publishDate |
2009-01-01 |
| 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), 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. |
| url |
http://dx.doi.org/10.1155/2009/503724 |
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AT gwanghuikim onthesuperstabilityrelatedwiththetrigonometricfunctionalequation |
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