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A General Uniqueness Theorem concerning the Stability of AQCQ Type Functional Equations

정순모|이양희
경북대학교 자연과학대학 수학과|2018.06|Kyungpook Mathematical Journal|제58권 제2호|pp. 291-305

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stabilityuniquenessHyers-Ulam stabilitygeneralized Hyers-Ulam stabilityAQCQ type functional equationAQCQ mapping
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초록

In this paper, we prove a general uniqueness theorem which is useful for proving the uniqueness of the relevant additive mapping, quadratic mapping, cubic mapping, quartic mapping, or the additive-quadratic-cubic-quartic mapping when we investigate the (generalized) Hyers-Ulam stability.

Abstract

In this paper, we prove a general uniqueness theorem which is useful for proving the uniqueness of the relevant additive mapping, quadratic mapping, cubic mapping, quartic mapping, or the additive-quadratic-cubic-quartic mapping when we investigate the (generalized) Hyers-Ulam stability

참고문헌 (18)

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관련 논문AI추천

Generalized Hyers-Ulam Stability of Some Cubic-quadratic-additive Type Functional EquationsSoon-Mo Jung, Yang-Hi Lee경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2020 · 제60권 제1호Hyers-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 제4호On the Hyers-Ulam-Rassias Stability of a General Quartic Functional Equation이양희영남수학회 · East Asian Mathematical Journal2019 · 제35권 제3호Hyers-Ulam-Rassias stability of a quadratic-cubic-quartic functional equation이양희강원경기수학회 · 한국수학논문집2020 · 제28권 제2호Solution and stability of a functional equation deriving from additive, quadratic and quartic in quasi-Banach spaces박춘길, Mohammad Golestani, Norouz Ghobadipour강원경기수학회 · 한국수학논문집2025 · 제33권 제4호

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