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Solution and Stability of a General Mixed Type Cubic and Quartic Functional Equation
Joint Authors
Zhao, Xiaopeng
Pang, Chin-Tzong
Yang, Xiuzhong
Source
Journal of Function Spaces and Applications
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-06
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We consider the following mixed type cubic and quartic functional equation λ[f(x+λy)+f(x-λy)] = λ3[f(x+y)+f(x-y)]-2λ3(λ+1)f(y)-2λ(λ2-1)f(x)+2(λ+1)f(λy), where λ is a fixed integer.
We establish the general solution of the functional equation when the integer λ≠0, ±1, and then, by using the fixed point alternative, we investigate the generalized Hyers-Ulam-Rassias stability for this functional equation when the integer λ≥2.
American Psychological Association (APA)
Zhao, Xiaopeng& Yang, Xiuzhong& Pang, Chin-Tzong. 2013. Solution and Stability of a General Mixed Type Cubic and Quartic Functional Equation. Journal of Function Spaces and Applications،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-489433
Modern Language Association (MLA)
Zhao, Xiaopeng…[et al.]. Solution and Stability of a General Mixed Type Cubic and Quartic Functional Equation. Journal of Function Spaces and Applications No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-489433
American Medical Association (AMA)
Zhao, Xiaopeng& Yang, Xiuzhong& Pang, Chin-Tzong. Solution and Stability of a General Mixed Type Cubic and Quartic Functional Equation. Journal of Function Spaces and Applications. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-489433
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-489433