On a functional equation of trigonometric type
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Publication:298727
DOI10.1016/j.amc.2014.12.019zbMath1338.39041OpenAlexW2080457351MaRDI QIDQ298727
Cristinel Mortici, Michael Th. Rassias, Jung, Soon-Mo
Publication date: 21 June 2016
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2014.12.019
Banach spacesfunctional equationHyers-Ulam stabilityfunctional inequalitytrigonometric type functional equation
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Cites Work
- Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
- Exponential type functional equation and its Hyers-Ulam stability
- On the stability of a functional equation associated with the Fibonacci numbers
- Hyers-Ulam stability of functional equations in several variables
- Hyers-Ulam stability of Butler-Rassias functional equation
- The Stability of the Cosine Equation
- On a Theorem of Baker, Lawrence and Zorzitto
- Approximate homomorphisms
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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