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http://dx.doi.org/10.14403/jcms.2018.31.1.29

STABILITY OF TWO GENERALIZED 3-DIMENSIONAL QUADRATIC FUNCTIONAL EQUATIONS

Jin, Sun-Sook (Department of Mathematics Education Gongju National University of Education)
Lee, Yang-Hi (Department of Mathematics Education Gongju National University of Education)

Publication Information

Journal of the Chungcheong Mathematical Society / v.31, no.1, 2018 , pp. 29-42 More about this Journal

Abstract

In this paper, we investigate the stability of two functional equations f(ax+by + cz) - abf(x + y) - bcf(y + z) - acf(x + z) + bcf(y) - a(a - b - c)f(x) - b(b - a)f(-y) - c(c - a - b)f(z) = 0, f(ax+by + cz) + abf(x - y) + bcf(y - z) + acf(x - z) - a(a + b + c)f(x) - b(a + b + c)f(y) - c(a + b + c)f(z) = 0 by applying the direct method in the sense of Hyers and Ulam.

Keywords

stability; 3-dimensional quadratic functional equation; direct method;

Citations & Related Records

Reference

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