Nonlinear [Lagrangian (script capital L)] -Random Stability of an ACQ Functional Equation

We prove the generalized Hyers-Ulam stability of the following additive-cubic-quartic functional equation: 11f(x+2y)+11f(x-2y)=44f(x+y)+44f(x-y)+12f(3y)-48f(2y)+60f(y)-66f(x) in complete latticetic random normed spaces.

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Bibliographic Details
Published in:	Journal of inequalities and applications Vol. 2011; no. 1; p. 194394
Main Authors:	Saadati, Reza, Zohdi, M M, Vaezpour, S M
Format:	Journal Article
Language:	English
Published:	Heidelberg Springer Nature B.V 06-03-2011 BioMed Central Ltd
Subjects:	Dynamical systems Inequality Mathematical models Mathematics Particle physics Science Studies
Online Access:	Get full text
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Description
Summary:	We prove the generalized Hyers-Ulam stability of the following additive-cubic-quartic functional equation: 11f(x+2y)+11f(x-2y)=44f(x+y)+44f(x-y)+12f(3y)-48f(2y)+60f(y)-66f(x) in complete latticetic random normed spaces.
ISSN:	1025-5834 1029-242X 1029-242X
DOI:	10.1186/1029-242X-2011-194394