Uniqueness theorems on functional inequalities concerning cubic-quadratic-additive equation
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Publication:4565868
DOI10.7153/jmi-2018-12-04zbMath1412.39028OpenAlexW2791182919WikidataQ130151014 ScholiaQ130151014MaRDI QIDQ4565868
Jung, Soon-Mo, Yang-Hi Lee, Michael Th. Rassias
Publication date: 13 June 2018
Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.7153/jmi-2018-12-04
Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52) Systems of functional equations and inequalities (39B72)
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Cites Work
- On a functional equation of trigonometric type
- Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
- Solution and stability of generalized mixed type cubic, quadratic and additive functional equation in quasi-Banach spaces
- Solution and stability of a mixed type additive, quadratic, and cubic functional equation
- A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
- A linear functional equation of third order associated with the Fibonacci numbers
- On the stability of a functional equation associated with the Fibonacci numbers
- General uniqueness theorem concerning the stability of additive, quadratic, and cubic functional equations
- On the stability of the linear functional equation in a single variable on complete metric groups
- A fixed point approach to the fuzzy stability of an additive-quadratic-cubic functional equation
- Functional Equations and Inequalities with Applications
- On the Stability of the Linear Mapping in Banach Spaces
- Hyers–Ulam stability of monomial functional equations on a general domain
- Unnamed Item
- Unnamed Item
- Unnamed Item
