A Linear Functional Equation of Third Order Associated with the Fibonacci Numbers

By Soon-Mo Jung, Michael Th. Rassias. 2014

52 citations recorded by the source corpus.

Given a vector space , we investigate the solutions of the linear functional equation of third order , which is strongly associated with a well-known identity for the Fibonacci numbers. Moreover, we prove the Hyers-Ulam stability of that equation.

Subfields: Algebra and Number Theory, Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/2d81d442833b1bbb2866bf22a91cd5fbd71ffd28

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Michael Th. Rassias
2. Yang-Hi Lee
3. Soon-Mo Jung
4. Ioan A. Rus

In Applied Mathematics

1. Michael Th. Rassias
2. Yang-Hi Lee
3. Soon-Mo Jung
4. Krzysztof Cieplinski
5. Janusz Brzdek
6. Mohammad Sal Moslehian
7. Ioan A. Rus
8. Akbar Zada

Citations in the corpus

• Uniqueness theorems on functional inequalities concerning cubic-quadratic-additive equation (2018, background): “For the study of functional inequalities concerning the cubic-quadratic-additive equations and a broad variety of other types of functional inequalities, the reader is referred to [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18].”
• On the Stability of a Functional Equation Associated with the Fibonacci Numbers (2014, unknown): “[3–14]).”