On the Stability of a Generalized Quadratic and Quartic Type Functional Equation in Quasi-Banach Spaces
<p/> <p>We establish the general solution of the functional equation <inline-formula> <graphic file="1029-242X-2009-153084-i1.gif"/></inline-formula> for fixed integers <inline-formula> <graphic file="1029-242X-2009-153084-i2.gif"/></i...
Main Authors: | , , |
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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/2009/153084 |
Summary: | <p/> <p>We establish the general solution of the functional equation <inline-formula> <graphic file="1029-242X-2009-153084-i1.gif"/></inline-formula> for fixed integers <inline-formula> <graphic file="1029-242X-2009-153084-i2.gif"/></inline-formula> with <inline-formula> <graphic file="1029-242X-2009-153084-i3.gif"/></inline-formula> and investigate the generalized Hyers-Ulam stability of this equation in quasi-Banach spaces.</p> |
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ISSN: | 1025-5834 1029-242X |