Stability of   -­variable Additive and   -­variable Quadratic Functional Equations

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

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. 한국수학교육학회지시리즈B:순수및응용수학, 29(2), 179-188, https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.2.179

복사

Abstract

In this paper we investigate the Hyers-Ulam stability of the s-variable additive and l-variable quadratic functional equations of the form <TEX>$$f$\sum\limits_{i=1}^{s}x_i$+\sum\limits_{j=1}^{s}f$-sx_j+\sum\limits_{i=1,i{\neq}j}^{s}x_i$=0$$</TEX> and <TEX>$$f$\sum\limits_{i=1}^{l}x_i$+\sum\limits_{j=1}^{l}f$-lx_j+\sum\limits_{i=1,i{\neq}j}^{l}x_i$=(l+1)$$</TEX><TEX>$\sum\limits_{i=1,i{\neq}j}^{l}f(x_i-x_j)+(l+1)\sum\limits_{i=1}^{l}f(x_i)$</TEX> (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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논문 상세

Vol.29 No.2

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

Stability of -­variable Additive and -­variable Quadratic Functional Equations

Abstract

한국수학교육학회지시리즈B:순수및응용수학

Stability of -variable Additive and -variable Quadratic Functional Equations