논문KCI 등재
Solution and stability of a functional equation deriving from additive, quadratic and quartic in quasi-Banach spaces
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In this paper, we investigate the general solution of the following functional equation $$f(x+3y)+f(x-3y)=9(f(x+y)+f(x-y))+12f(y)-12f(2y)+4f(3y)-16f(x)$$ and discuss its Hyers-Ulam stability in quasi-Banach spaces.
Abstract
In this paper, we investigate the general solution of the following functional equation $$f(x+3y)+f(x-3y)=9(f(x+y)+f(x-y))+12f(y)-12f(2y)+4f(3y)-16f(x)$$ and discuss its Hyers-Ulam stability in quasi-Banach spaces.
관련 논문AI추천
STABILITY OF A FUNCTIONAL EQUATION DERIVING FROM QUARTIC AND ADDITIVE FUNCTIONSMadjid Eshaghi Gordji대한수학회 · 대한수학회보2010 · 제47권 제3호Hyers-Ulam-Rassias stability of a quadratic-cubic-quartic functional equation이양희강원경기수학회 · 한국수학논문집2020 · 제28권 제2호Hyers-Ulam-Rassias Stability of an Additive-Quartic, a Quadratic-Quartic, and a Cubic-Quartic Functional Equation이양희, 진선숙영남수학회 · East Asian Mathematical Journal2020 · 제36권 제1호On the Hyers-Ulam-Rassias Stability of an Additive-cubic-quartic Functional Equation이양희한국수학교육학회 · 이론수학과 교직수학2019 · 제26권 제4호General solution and Ulam stability of generalized CQ functional equation이정례, P. Muniyappan, Sandra Pinelas, Vediyappan Govindan강원경기수학회 · 한국수학논문집2022 · 제30권 제2호On the Hyers-Ulam-Rassias Stability of a General Quartic Functional Equation이양희영남수학회 · East Asian Mathematical Journal2019 · 제35권 제3호
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