Abstract
The famous Russian mathematician Pafnutii Lvovich Tchebycheff (1821-1894) introduced T1(x) as the polynomial of least uniform norm on [-1, 1] amid the polynomials of degree n with fixed leading coefficient. The Tchebycheff polynomials appear prominently in various extremal problems posed in irn (the set of all polynomials of degree n). An illuminating example is the classical Markov inequality, Which shows that
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