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http://dx.doi.org/10.7468/jksmeb.2022.29.2.179

STABILITY OF s-VARIABLE ADDITIVE AND l-VARIABLE QUADRATIC FUNCTIONAL EQUATIONS  

Govindan, Vediyappan (Department of Mathematics, DMI St John Baptist University)
Pinelas, Sandra (Departamento de Ciencias Exatas e Engenharia, Academia Militar)
Lee, Jung Rye (Department of Data Science, Daejin University)
Publication Information
The Pure and Applied Mathematics / v.29, no.2, 2022 , pp. 179-188 More about this Journal
Abstract
In this paper we investigate the Hyers-Ulam stability of the s-variable additive and l-variable quadratic functional equations of the form $$f\(\sum\limits_{i=1}^{s}x_i\)+\sum\limits_{j=1}^{s}f\(-sx_j+\sum\limits_{i=1,i{\neq}j}^{s}x_i\)=0$$ and $$f\(\sum\limits_{i=1}^{l}x_i\)+\sum\limits_{j=1}^{l}f\(-lx_j+\sum\limits_{i=1,i{\neq}j}^{l}x_i\)=(l+1)$$$\sum\limits_{i=1,i{\neq}j}^{l}f(x_i-x_j)+(l+1)\sum\limits_{i=1}^{l}f(x_i)$ (s, l ∈ N, s, l ≥ 3) in quasi-Banach spaces.
Keywords
Hyers-Ulam stability; additive and quadratic mapping; quasi-Banach space; p-Banach space;
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