Lower bounds for derivatives of polynomials and Remez type inequalities Academic Article uri icon

abstract

  • P.Turn [ber die Ableitung von Polynomen, Comositio Math. 7 (1939), 8995] proved that if all the zeros of a polynomial p p lie in the unit interval I = def [ 1 , 1 ] I overset { ext {def}}{=} [-1,1] , then p L ( I ) deg ( p ) / 6 p L ( I ) |p|_{L^{infty }(I)}ge {sqrt {deg (p)}}/{6}; |p|_{L^{infty }(I)}; . Our goal is to study the feasibility of lim n p n X / p n Y = lim _{{n o infty } }{|p_{n}|_{X}} / {|p_{n}|_{Y}} =infty for sequences of polynomials

published proceedings

  • TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

author list (cited authors)

  • Erdelyi, T., & Nevai, P.

citation count

  • 9

complete list of authors

  • Erdelyi, T||Nevai, P

publication date

  • December 1997