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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.29 No.2

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

Stability of -­variable Additive and -­variable Quadratic Functional Equations

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2022, v.29 no.2, pp.179-188
https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.2.179
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)
Govindan, Vediyappan, Pinelas, Sandra, & Lee, Jung Rye. (2022). STABILITY OF s-VARIABLE ADDITIVE AND l-VARIABLE QUADRATIC FUNCTIONAL EQUATIONS, 29(2), 179-188, https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.2.179

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

한국수학교육학회지시리즈B:순수및응용수학

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