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It is well known [15] that a function satisfies the quadratic functional equation (21).
Naturally, we call these equations quadratic functional equations and every solution a quadratic function (mapping).
In particular, every solution of the quadratic functional equation is said to be a quadratic function.
Thus, it has been called quadratic functional equation, and each of its solutions is said to be a quadratic function.
(1.1). is called a quadratic functional equation.
For a mapping, consider the -dimensional quadratic functional equation: (12).
For a mapping, consider the quadratic functional equation (11).
Quadratic functional equations were used to characterize inner product spaces.
Hence, the above equation is called the quadratic functional equation.
In this paper, we consider a new quadratic functional equation.
The work has been extended to quadratic functional equations.
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