Approximation of an Additive (ρ1, ρ2)-Random Operator Inequality

被引：8

作者：

Jang, Sun Young ^{[1
]}

Saadati, Reza ^{[2
]}

机构：

[1] Univ Ulsan, Dept Math, Ulsan 44610, South Korea

[2] Iran Univ Sci & Technol, Dept Math, Tehran, Iran

来源：

JOURNAL OF FUNCTION SPACES | 2020年 / 2020卷

基金：

新加坡国家研究基金会;

关键词：

FUNCTIONAL INEQUALITIES; STABILITY; DERIVATIONS;

D O I：

10.1155/2020/7540303

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We solve the additive (rho(1), rho(2))-random operator inequality xi(T(omega, u+v)-T(omega, u)- T(omega, v))(t) >= kappa(M) (xi(rho 1(T(omega, u+v)+T(omega, u-v)-2T(omega, u)))(t) , xi(rho 1(2T(omega,((u+v)/2))-T(omega,u)-T(omega,v)))(t)), in which rho(1), rho(2) epsilon C are fixed and max {root 2 vertical bar rho(1)vertical bar, vertical bar rho(2)vertical bar } < 1. Finally, we get an approximation of the mentioned additive (rho(1), rho(2))-random operator inequality by direct technique.

引用

页数：5

共 27 条

[1] Approximation of the multiplicatives on random multi-normed space [J].