TITLE:
Considerable Development of the Type Additive-Quadratic g(λ)-Functional Inequalities with 3k-Variable in (α1,α2)-Homogeneous F-Spaces
AUTHORS:
Ly Van An
KEYWORDS:
Additive g(λ)-Functional Inequality, (α1;α2)-Homogeneous F-Space, Additive-Quadratic g(λ)-Functional Inequality, (α1;α2)-Homogeneous F-Space
JOURNAL NAME:
Open Access Library Journal,
Vol.10 No.12,
December
29,
2023
ABSTRACT: In this article, I use the direct method to study two general functional inequalities with multivariables. First, I prove that the g(λ)-function inequalities (1) and (2) are additive in (α1;α2)-homogeneous F-spaces. After that, I continue to prove that the g(λ)-function inequality (1) and (2) are quadratic in the (α1;α2)-homogeneous F-space. That is the main result in this paper.