On Stability of a Functional Equation Connected with the Reynolds Operator
<p/> <p>Let <inline-formula><graphic file="1029-242X-2007-079816-i1.gif"/></inline-formula> be an Abelain semigroup, <inline-formula><graphic file="1029-242X-2007-079816-i2.gif"/></inline-formula>, and let <inline-formula><...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2007-01-01
|
| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2007/079816 |
| Summary: | <p/> <p>Let <inline-formula><graphic file="1029-242X-2007-079816-i1.gif"/></inline-formula> be an Abelain semigroup, <inline-formula><graphic file="1029-242X-2007-079816-i2.gif"/></inline-formula>, and let <inline-formula><graphic file="1029-242X-2007-079816-i3.gif"/></inline-formula> be either <inline-formula><graphic file="1029-242X-2007-079816-i4.gif"/></inline-formula> or <inline-formula><graphic file="1029-242X-2007-079816-i5.gif"/></inline-formula>. We prove superstability of the functional equation <inline-formula><graphic file="1029-242X-2007-079816-i6.gif"/></inline-formula> in the class of functions <inline-formula><graphic file="1029-242X-2007-079816-i7.gif"/></inline-formula>. We also show some stability results of the equation in the class of functions <inline-formula><graphic file="1029-242X-2007-079816-i8.gif"/></inline-formula>.</p> |
|---|---|
| ISSN: | 1025-5834 1029-242X |