Stability of a functional equation deriving from cubic and quartic functions
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Publication:1008564
DOI10.1155/2008/801904zbMath1160.39334arXiv0812.5020OpenAlexW2168666069WikidataQ58643834 ScholiaQ58643834MaRDI QIDQ1008564
Madjid Eshaghi-Gordji, Ali Ebadian, Somayyeh Zolfaghari
Publication date: 30 March 2009
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0812.5020
Functional equations for real functions (39B22) Stability, separation, extension, and related topics for functional equations (39B82)
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Cites Work
- Quartic functional equations
- On the stability of the orthogonally quartic functional equation
- Solution of a problem of Ulam
- On approximation of approximately linear mappings by linear mappings
- On stability of additive mappings
- A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
- On the stability of functional equations and a problem of Ulam
- On the stability of functional equations in Banach spaces
- On the Hyers-Ulam stability of \(\psi\)-additive mappings
- The generalized Hyers--Ulam--Rassias stability of a cubic functional equation
- On the stability of a quartic functional equation
- On a bi-quadratic functional equation and its stability
- On the stability of the linear transformation in Banach spaces
- On the Stability of the Linear Mapping in Banach Spaces
- ON THE GENERAL SOLUTION OF A QUARTIC FUNCTIONAL EQUATION
- On the Stability of the Linear Functional Equation
- Remarks on the stability of functional equations
- Stability of functional equations in several variables
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- Unnamed Item
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