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Stability of a Functional Equation Deriving from Cubic and Quartic Functions

Stability of a functional equation deriving from cubic and quartic functions
Authors: Gordji, M. Eshaghi; Ebadian, A.; Zolfaghari, S.;

Stability of a Functional Equation Deriving from Cubic and Quartic Functions

Abstract

We obtain the general solution and the generalized Ulam‐Hyers stability of the cubic and quartic functional equation 4(f(3x + y) + f(3x − y)) = −12(f(x + y) + f(x − y)) + 12(f(2x + y) + f(2x − y)) − 8f(y)−192f(x) + f(2y) + 30f(2x).

Related Organizations
Keywords

Mathematics - Functional Analysis, Functional equations for real functions, cubic functional equation, quartic functional equation, 39B82, 39B52, QA1-939, FOS: Mathematics, Stability, separation, extension, and related topics for functional equations, generalized Ulam-Hyers stability, Mathematics, Functional Analysis (math.FA)

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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!
20
Average
Top 10%
Top 10%
Green
gold