Bulletin of the
Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 2008; 45(2): 397-403

Printed June 1, 2008

Copyright © The Korean Mathematical Society.

On the stability of the monomial functional equation

Yang-Hi Lee

University of gongju education

Abstract

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In this paper, we modify L.C\u adariu and V. Radu's result for the stability of the monomial functional equation $$\sum_{i=0}^n {}_nC_i (-1)^{n-i}f(ix+y)- n!f(x)=0$$ in the sense of Th. M. Rassias. Also, we investigate the superstability of the monomial functional equation.

Keywords: stability, monomial functional equation

MSC numbers: Primary 39B52

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