supported by National Natural Science Foundation of China(Grant No.11761074);supported by Basic Science Research Program through the National Research Foundation of Korea funded by the Ministry of Education,Science and Technology(Grant No.NRF-2017R1D1A1B04032937);The author is grateful to anonyme reviewers for their valuable com ments and suggestions.
In this paper,we introduce and solve the following additive(ρ1,ρ2)-functional inequalities‖f(x+y+z)-f(x)-f(y)-f(z)‖≤‖ρ1(f(x+z)-f(x)-f(z))‖+‖ρ2(f(y+z)-f(y)-f(z))‖,whereρ1 andρ2 are fixed nonzero complex nu...