Approximation Theory and its Applications

, Volume 6, Issue 4, pp 107–117 | Cite as

General Markov-Bernstein and Nikolskii type inequalities

  • H. N. Mhaskar


In this paper, we demonstrate how the continuity properties of the logarithmic potential of certain equilibrium measure leads to very general polynomial inequalities. Typical inequalities considered are those which estimate the norm of the derivative of a polynomial in terms of the norm of the polynomial itself and those which compare different norms of the same polynomial.


Dirichlet Problem Orthogonal Polynomial Equilibrium Measure Algebraic Polynomial Good Constant 
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Copyright information

© Springer 1990

Authors and Affiliations

  • H. N. Mhaskar
    • 1
  1. 1.Department of MathematicsCalifornia State UniversityLos AngelesU.S.A.

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