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On the Stability of a Quadratic Functional Equation
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In this paper, we prove the Hyers-Ulam-Rassias stability of the following functional equation f(x + y + z) + f(x y + z) + f(x + y z) + f( x + y + z) = 4 f(x) + 4 f(y) + 4 f(z) on the whole space. Moreover, the Hyers-Ulam stability of that equation will also be investigated for functions defined on a restricted domain.
Abstract
In this paper, we prove the Hyers-Ulam-Rassias stability of the following functional equation f(x + y + z) + f(x y + z) + f(x + y z) + f( x + y + z) = 4 f(x) + 4 f(y) + 4 f(z) on the whole space. Moreover, the Hyers-Ulam stability of that equation will also be investigated for functions defined on a restricted domain.
관련 논문AI추천
Hyers-Ulam-Rassias stability of a quadratic-cubic-quartic functional equation이양희강원경기수학회 · 한국수학논문집2020 · 제28권 제2호On the Hyers-Ulam-Rassias Stability of a General Quartic Functional Equation이양희영남수학회 · East Asian Mathematical Journal2019 · 제35권 제3호STABILITY OF A FUNCTIONAL EQUATION DERIVING FROM QUARTIC AND ADDITIVE FUNCTIONSMadjid Eshaghi Gordji대한수학회 · 대한수학회보2010 · 제47권 제3호On the Hyers-Ulam-Rassias Stability of an Additive-cubic-quartic Functional Equation이양희한국수학교육학회 · 이론수학과 교직수학2019 · 제26권 제4호Hyers-Ulam-Rassias Stability of an Additive-Quartic, a Quadratic-Quartic, and a Cubic-Quartic Functional Equation이양희, 진선숙영남수학회 · East Asian Mathematical Journal2020 · 제36권 제1호Generalized Hyers-Ulam Stability of Some Cubic-quadratic-additive Type Functional EquationsSoon-Mo Jung, Yang-Hi Lee경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2020 · 제60권 제1호
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