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http://dx.doi.org/10.7468/jksmeb.2019.26.1.49

GENERALIZED HYERS-ULAM STABILITY OF A QUADRATIC-CUBIC FUNCTIONAL EQUATION IN MODULAR SPACES

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

Publication Information

The Pure and Applied Mathematics / v.26, no.1, 2019 , pp. 49-58 More about this Journal

Abstract

In this paper, I prove the stability problem for a quadratic-cubic functional equation $f(x+ky)-k^2f(x+y)-k^2f(x-y)+f(x-ky)+f(kx)-{\frac{k^3-3k^2+4}{2}}f(x)+{\frac{k^3-k^2}{2}}f(-x)=0$ in modular spaces by applying the direct method.

Keywords

generalized Hyers-Ulam stability; quadratic-cubic functional equation; direct method; modular space;

Citations & Related Records

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