Title of article :
Functional inequalities in generalized quasi-Banach spaces
Author/Authors :
Fang ، Ming - Northeast Normal University , Lu ، Gang Shenyang University of Technology , Pei ، Dong He - Northeast Normal University
Abstract :
In this paper, we investigate the Hyers-Ulam stability of the following function inequalities ∥af(x)+bg(y)+ch(z)∥≤∥Kp(ax+by+czk)∥; ∥af(x)+bg(y)+Kh(z)∥≤∥Kp(ax+byk+z)∥;in generalized quasi-Banach spaces, where a ; b ; c ; K are nonzero real numbers.
Keywords :
Hyers , Ulam stability , additive functional inequality , generalized quasi , Banach space , additive mapping
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
