Approximate multi-variable bi-Jensen-type mappings

Abstract

In this study, we obtained the stability of the multi-variable bi-Jensen-type functional equation: n2fx1+⋯+xnn,y1+⋯+ynn=∑i=1n∑j=1nf(xi,yj).{n}^{2}f\left(\frac{{x}_{1}+\cdots +{x}_{n}}{n},\frac{{y}_{1}+\cdots +{y}_{n}}{n}\right)=\mathop{\sum }\limits_{i=1}^{n}\mathop{\sum }\limits_{j=1}^{n}f\left({x}_{i},{y}_{j}).

Keywords

• linear 2-normed space
• quasi-normed space
• multi-variable bi-jensen-type mapping
• 39b52
• 39b82