References
- J. Aczel, Lectures on Functional Equations and Their Applications, Academic Press, New York, 1966.
- J. K. Chung and P. K. Sahoo, On the general solution of a quartic functional equation, Bull. Korean Math. Soc. 40 (2003), no. 4, 565-576. https://doi.org/10.4134/BKMS.2003.40.4.565
- S. Czerwik, Functional Equations and Inequalities in Several Variables, World Scientific, Singapore, 2002.
- M. Eshaghi Gordji, Stability of a functional equation deriving from quartic and additive functions, Bull. Korean Math. Soc. 47 (2010), no. 3, 491-502. https://doi.org/10.4134/BKMS.2010.47.3.491
- P. Gavruta, A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings, J. Math. Anal. Appl. 184 (1994), no. 3, 431-436. https://doi.org/10.1006/jmaa.1994.1211
- C. Hengkrawit and A. Thanyacharoen, A general solution of a generalized quartic func- tional equation and its stability, Int. J. Pure Appl. Math. 80 (2013), no. 4, 691-706.
- D. H. Hyers, On the stability of the linear functional equations, Proc. Natl. Acad. Sci. USA 27 (1941), no. 4, 222-224. https://doi.org/10.1073/pnas.27.4.222
- M. Kuczma, An Introduction to the Theory of Functional Equations and Inequalities, Panstwowe Wydawnictwo Naukowe-Uniwersylet Slaski, Warszawa-Krakow-Katowice, 1985.
- Th. M. Rassias, On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), no. 2, 297-300. https://doi.org/10.1090/S0002-9939-1978-0507327-1
- P. K. Sahoo, On a functional equation characterizing polynomials of degree three, Bull. Inst. Math. Acad. Sin. (N.S.) 32 (2004), no. 1, 35-44.
- P. K. Sahoo, A generalized cubic functional equation, Acta Math. Sin. (Engl. Ser.) 21 (2005), no. 5, 1159-1166. https://doi.org/10.1007/s10114-005-0551-3
- S. M. Ulam, Problems in Modern Mathematics, Wiley, New York, 1964.