Wseas Transactions on Mathematics, Volume 10, Issue 8, Pages 279-290 , 01/08/2011
A stability result for a generalized trigonometric-quadratic functional equation with one unbounded function
Abstract
A generalized trigonometric-quadratic functional equation of the form F(x + y) + G(x - y) = 2H(x)K(y) + L(x) + M(y) over the domain of an abelian group and the range of the complex field is considered. Its stability is established based on the assumption that the function K is unbounded. Subject to certain natural conditions, explicit shapes of the functions H and K are determined. Several existing related results are derived as direct consequences.
Document Type
Article
Source Type
Journal
Keywords
Abelian groupAdditive functionQuadratic functional equationStabilityTrigonometric functional equationUnboundedness
ASJC Subject Area
Mathematics : Statistics and ProbabilityMathematics : Control and OptimizationDecision Sciences : Management Science and Operations ResearchMathematics : Algebra and Number TheoryMathematics : Applied MathematicsMathematics : Computational MathematicsMathematics : Discrete Mathematics and CombinatoricsMedicine : Endocrinology, Diabetes and Metabolism