The Hyers–Ulam–Rassias stability of the pexiderized equations

descriptionPublicationkeyboard_double_arrow_right Article 01 Nov 2005 English Publisher:Elsevier BVJournal:Nonlinear Analysis: Theory, Methods & Applications, volume 63, pages e2503-e2513 (issn: 0362-546X,

Authors: Dal-Won Park; Yang-Hi Lee;

doi: 10.1016/j.na.2005.02.080

The Hyers–Ulam–Rassias stability of the pexiderized equations

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Abstract

Abstract In this paper we prove the Hyers–Ulam–Rassias stability of the equations f ( x + y ) - g ( x ) - h ( y ) = 0 , f ( x + y ) + g ( x - y ) - 2 h ( x ) - 2 k ( y ) = 0 , f ( xy ) + g ( x + y ) - h ( xy + x ) - k ( y ) = 0 .

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Kongju National University
Korea (Republic of)

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