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A SYSTEM OF FUNCTIONAL EQUATIONS SATISFIED BY COMPONENTS OF A QUADRATIC FUNCTION AND ITS STABILITY

Published online by Cambridge University Press:  27 February 2019

KANET PONPETCH Open the ORCID record for KANET PONPETCH [Opens in a new window] ,
VICHIAN LAOHAKOSOL Open the ORCID record for VICHIAN LAOHAKOSOL [Opens in a new window]  and
SUKRAWAN MAVECHA
KANET PONPETCH*
Affiliation:
Department of Mathematics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Bangkok 10520, Thailand email [email protected]
VICHIAN LAOHAKOSOL
Affiliation:
Department of Mathematics, Faculty of Science, Kasetsart University, Bangkok 10900, Thailand email [email protected]
SUKRAWAN MAVECHA
Affiliation:
Department of Mathematics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Bangkok 10520, Thailand email [email protected]
*
✉[email protected]
Rights & Permissions [Opens in a new window]

Abstract

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A system of functional equations satisfied by the components of a quadratic function is derived via their corresponding circulant matrix. Given such a system of functional equations, general solutions are determined and a stability result for such a system is established.

Keywords

quadratic functional equationcirculant matrixcomponent functionstability

MSC classification

Primary: 39B72: Systems of functional equations and inequalities
Secondary: 39B82: Stability, separation, extension, and related topics
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 100 , Issue 2 , October 2019 , pp. 304 - 316
Copyright
© 2019 Australian Mathematical Publishing Association Inc. 

References

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