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Abstract and Applied Analysis
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https://dx.doi.org/10.1155/201...
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General Cubic‐Quartic Functional Equation

General cubic-quartic functional equation
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2011 English Publisher:WileyJournal:Abstract and Applied Analysis, volume 2,011 (issn: 1085-3375, eissn: 1687-0409, Copyright policy )
Authors: M. Eshaghi Gordji; M. Kamyar; Th. M. Rassias;

doi: 10.1155/2011/463164

General Cubic‐Quartic Functional Equation

Abstract

We obtain the general solution and the generalized Hyers‐Ulam stability of the general cubic‐quartic functional equation for fixed integerskwithk≠ 0, ±1:f(x+ky) +f(x−ky) =k2(f(x+y) +f(x−y)) + 2(1 −k2)f(x)+((k4−k2)/4)(f(2y) − 8f(y)), where .

Related Organizations
Keywords

Functional equations for real functions, generalized Hyers-Ulam stability, QA1-939, Stability, separation, extension, and related topics for functional equations, Mathematics, general cubic-quartic functional equation

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
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