ON THE STABILITY OF A CAUCHY-JENSEN FUNCTIONAL EQUATION

Title & Authors
ON THE STABILITY OF A CAUCHY-JENSEN FUNCTIONAL EQUATION
Jun, Kil-Woung; Lee, Yang-Hi; Cho, Young-Sun;

Abstract
In this paper, we prove the stability of a Cauchy-Jensen functional equation $\small{2f(x+y,\;\frac{z+w}2)}$=f(x, z)+f(x, w)+f(y, z)+f(y, w) in the sense of Th. M. Rassias.
Keywords
stability;Cauchy-Jensen mapping;functional equation;
Language
English
Cited by
1.
ON THE GENERALIZED HYERS-ULAM STABILITY OF THE CAUCHY-JENSEN FUNCTIONAL EQUATION II,;;;

한국수학교육학회지시리즈B:순수및응용수학, 2009. vol.16. 2, pp.167-178
1.
On an equation characterizing multi-cauchy-jensen mappings and its Hyers-Ulam stability, Acta Mathematica Scientia, 2015, 35, 6, 1349
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