Functional Equation <inline-formula> <graphic file="1029-242X-2009-181678-i1.gif"/></inline-formula> and Its Hyers-Ulam Stability
<p/> <p>We solve the functional equation, <inline-formula> <graphic file="1029-242X-2009-181678-i2.gif"/></inline-formula>, and prove its Hyers-Ulam stability in the class of functions <inline-formula> <graphic file="1029-242X-2009-181678-i3.gif&...
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2009-01-01
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Series: | Journal of Inequalities and Applications |
Online Access: | http://www.journalofinequalitiesandapplications.com/content/2009/181678 |
_version_ | 1819277996519849984 |
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author | Jung Soon-Mo |
author_facet | Jung Soon-Mo |
author_sort | Jung Soon-Mo |
collection | DOAJ |
description | <p/> <p>We solve the functional equation, <inline-formula> <graphic file="1029-242X-2009-181678-i2.gif"/></inline-formula>, and prove its Hyers-Ulam stability in the class of functions <inline-formula> <graphic file="1029-242X-2009-181678-i3.gif"/></inline-formula>, where <inline-formula> <graphic file="1029-242X-2009-181678-i4.gif"/></inline-formula> is a real (or complex) Banach space.</p> |
first_indexed | 2024-12-24T00:04:59Z |
format | Article |
id | doaj.art-c19235d94ee54236882210c9e0496946 |
institution | Directory Open Access Journal |
issn | 1025-5834 1029-242X |
language | English |
last_indexed | 2024-12-24T00:04:59Z |
publishDate | 2009-01-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of Inequalities and Applications |
spelling | doaj.art-c19235d94ee54236882210c9e04969462022-12-21T17:25:02ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2009-01-0120091181678Functional Equation <inline-formula> <graphic file="1029-242X-2009-181678-i1.gif"/></inline-formula> and Its Hyers-Ulam StabilityJung Soon-Mo<p/> <p>We solve the functional equation, <inline-formula> <graphic file="1029-242X-2009-181678-i2.gif"/></inline-formula>, and prove its Hyers-Ulam stability in the class of functions <inline-formula> <graphic file="1029-242X-2009-181678-i3.gif"/></inline-formula>, where <inline-formula> <graphic file="1029-242X-2009-181678-i4.gif"/></inline-formula> is a real (or complex) Banach space.</p>http://www.journalofinequalitiesandapplications.com/content/2009/181678 |
spellingShingle | Jung Soon-Mo Functional Equation <inline-formula> <graphic file="1029-242X-2009-181678-i1.gif"/></inline-formula> and Its Hyers-Ulam Stability Journal of Inequalities and Applications |
title | Functional Equation <inline-formula> <graphic file="1029-242X-2009-181678-i1.gif"/></inline-formula> and Its Hyers-Ulam Stability |
title_full | Functional Equation <inline-formula> <graphic file="1029-242X-2009-181678-i1.gif"/></inline-formula> and Its Hyers-Ulam Stability |
title_fullStr | Functional Equation <inline-formula> <graphic file="1029-242X-2009-181678-i1.gif"/></inline-formula> and Its Hyers-Ulam Stability |
title_full_unstemmed | Functional Equation <inline-formula> <graphic file="1029-242X-2009-181678-i1.gif"/></inline-formula> and Its Hyers-Ulam Stability |
title_short | Functional Equation <inline-formula> <graphic file="1029-242X-2009-181678-i1.gif"/></inline-formula> and Its Hyers-Ulam Stability |
title_sort | functional equation inline formula graphic file 1029 242x 2009 181678 i1 gif inline formula and its hyers ulam stability |
url | http://www.journalofinequalitiesandapplications.com/content/2009/181678 |
work_keys_str_mv | AT jungsoonmo functionalequationinlineformulagraphicfile1029242x2009181678i1gifinlineformulaanditshyersulamstability |