Chebyshev polynomials of the first kind are a sequence of orthogonal polynomials defined on the interval [-1, 1] that are particularly useful in approximation theory, numerical analysis, and various fields of applied mathematics. They are denoted as $$T_n(x)$$, where $$n$$ is a non-negative integer, and they exhibit properties like minimizing the maximum error of polynomial interpolation, making them essential in contexts like polynomial approximation and function approximation.
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