%0 Journal Article
%T Considerable Development of the Type Additive-Quadratic g(&lambda;)-Functional Inequalities with 3k-Variable in  (&alpha;<sub>1</sub>,&alpha;<sub>2</sub>)-Homogeneous F-Spaces
%A Ly Van An
%J Open Access Library Journal
%V 10
%N 12
%P 1-25
%@ 2333-9721
%D 2023
%I Open Access Library
%R 10.4236/oalib.1110970
%X In this article, I use the direct method to study two general functional inequalities with multivariables. First, I prove that the g(&lambda;)-function inequalities (1) and (2) are additive in (&alpha;<sub>1</sub>;&alpha;<sub>2</sub>)-homogeneous F-spaces. After that, I continue to prove that the g(&lambda;)-function inequality (1) and (2) are quadratic in the (&alpha;<sub>1</sub>;&alpha;<sub>2</sub>)-homogeneous F-space. That is the main result in this paper.
%K Additive g(¦Ë)-Functional Inequality
%K (¦Á1
%K ¦Á2)-Homogeneous F-Space
%K Additive-Quadratic g(¦Ë)-Functional Inequality
%K (¦Á1
%K ¦Á2)-Homogeneous F-Space
%U http://www.oalib.com/paper/6809874