Solution and stability of generalized mixed type cubic , quadratic and additive functional equation in quasi-Banach spaces

By M. Eshaghi Gordji, Hamid Khodaei. 2008

144 citations recorded by the source corpus.

Abstract In this paper, we achieve the general solution and the generalized Hyers–Ulam–Rassias stability of the following functional equation f ( x + k y ) + f ( x − k y ) = k 2 f ( x + y ) + k 2 f ( x − y ) + 2 ( 1 − k 2 ) f ( x ) for fixed integers k with k ≠ 0 , ± 1 in the quasi-Banach spaces.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/d5237a885aaa07ffde48308d8898154c3cf86395

How researchers see this paper

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

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

In Geometry and Topology

1. Yang-Hi Lee
2. Soon-Mo Jung
3. Michael Th. Rassias

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].”