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http://dx.doi.org/10.14403/jcms.2013.26.4.907

ON THE STABILITY OF A GENERAL ADDITIVE FUNCTIONAL INEQUALITY IN BANACH SPACES  

Chung, Sang-Cho (Department of Mathematics Education Mokwon University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.26, no.4, 2013 , pp. 907-913 More about this Journal
Abstract
In this paper, we prove the generalized Hyers-Ulam stability of the additive functional inequality $${\parallel}f(2x_1)+f(2x_2)+{\cdots}+f(2x_n){\parallel}{\leq}{\parallel}tf(x_1+x_2+{\cdots}+x_n){\parallel}$$ in Banach spaces where a positive integer $n{\geq}3$ and a real number t such that 2${\leq}$t
Keywords
additive functional inequality; Hyers-Ulam stability; Banach space;
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Times Cited By KSCI : 1  (Citation Analysis)
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