Resumen de Sharp Markov–Nikol’skii inequality with respect to the uniform norm and the integral norm with Chebyshev weight

Ivan E. Simonov, Polina Yu Glazyrina

• We study the inequality between the uniform norm of the derivative of an algebraic polynomial of degree nn and the integral norm of this polynomial with Chebyshev weight on a closed interval. We found exact constants and extremal polynomials for derivatives of any order.