바로가기메뉴

본문 바로가기 주메뉴 바로가기

logo

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

ISSN : 3059-0604

논문 상세

이전 다음
논문 투고

Vol.29 No.2

Citation Share

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 <TEX>f\(s∑i=1xi\)+s∑j=1f\(−sxj+s∑i=1,i≠jxi\)=0

</TEX> and <TEX>f\(l∑i=1xi\)+l∑j=1f\(−lxj+l∑i=1,i≠jxi\)=(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 &#x2208; N, s, l &#x2265; 3) in quasi-Banach spaces.

keywords
Hyers-Ulam stability, additive and quadratic mapping, quasi-Banach space, p-Banach space

한국수학교육학회지시리즈B:순수및응용수학

논문 투고 OA 정책