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On the stability of a Jensen type functional equation on groups

Prasanna K. Sahoo|Valeriy A. Fauiziev
대한수학회 (The Korean Mathematical Society)|2005.11|대한수학회보 (Bulletin of the KMS)|제42권 제4호|pp. 757-776

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Abstract

In this paper we establish the stability of a Jensen typefunctional equation, namely f(xy) -f(xy^{-1}) = 2 f(y), on someclasses of groups. We prove that any groupA can be embeddedinto some group G such that the Jensen type functional equation is stable on any metabelian group, GL(n,C), SL(n,C), and T(n,C).

참고문헌 (25)

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관련 논문AI추천

Stability of a cubic functional equation on groups박규홍, 정용수대한수학회 · 대한수학회보2004 · 제41권 제2호On the solution of a bi-Jensen functional equation and its stability박원길, 배재형대한수학회 · 대한수학회보2006 · 제43권 제3호Stability of a generalized quadratic functional equation with Jensen type이영환대한수학회 · 대한수학회보2005 · 제42권 제1호On the Stability of the generalized $G$-type functional equationsGwang Hui Kim대한수학회 · 대한수학회논문집2005 · 제20권 제1호The Hyers-Ulam stability of the quadratic functional equations on abelian groups배재형, 정용수대한수학회 · 대한수학회보2002 · 제39권 제2호On the stability of a Cauchy-Jensen functional equation이양희, 전길웅, 조영선대한수학회 · 대한수학회논문집2008 · 제23권 제3호

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