A Mixed-Type Quadratic and Cubic Functional Equation and Its Stability: Wanchitra Towanlong, Paisan Nakmahachalasint

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A Mixed-Type Quadratic and Cubic Functional Equation and Its Stability

Wanchitra Towanlong, Paisan Nakmahachalasint

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Abstract

In this paper, we prove the general solution of a mixed-type quadratic and cubic functional equation

f(x + 3y) − 3f(x + 2y) + 3f(x + y) − f(x) = 3f(y) − 3f(−y)

and investigate its general stability.

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Published

2010-12-31

How to Cite

Team, S. (2010). A Mixed-Type Quadratic and Cubic Functional Equation and Its Stability: Wanchitra Towanlong, Paisan Nakmahachalasint. Thai Journal of Mathematics, 8(4), 61–71. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/236