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><...
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| Language: | English |
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SpringerOpen
2007-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2007/079816 |
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doaj-4b526a2e1bfe43a4bc2116110e2857f32020-11-25T02:25:38ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2007-01-0120071079816On Stability of a Functional Equation Connected with the Reynolds OperatorNajdecki Adam<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>http://www.journalofinequalitiesandapplications.com/content/2007/079816 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Najdecki Adam |
| spellingShingle |
Najdecki Adam On Stability of a Functional Equation Connected with the Reynolds Operator Journal of Inequalities and Applications |
| author_facet |
Najdecki Adam |
| author_sort |
Najdecki Adam |
| title |
On Stability of a Functional Equation Connected with the Reynolds Operator |
| title_short |
On Stability of a Functional Equation Connected with the Reynolds Operator |
| title_full |
On Stability of a Functional Equation Connected with the Reynolds Operator |
| title_fullStr |
On Stability of a Functional Equation Connected with the Reynolds Operator |
| title_full_unstemmed |
On Stability of a Functional Equation Connected with the Reynolds Operator |
| title_sort |
on stability of a functional equation connected with the reynolds operator |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1025-5834 1029-242X |
| publishDate |
2007-01-01 |
| description |
<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> |
| url |
http://www.journalofinequalitiesandapplications.com/content/2007/079816 |
| work_keys_str_mv |
AT najdeckiadam onstabilityofafunctionalequationconnectedwiththereynoldsoperator |
| _version_ |
1724850863749464064 |