• Title/Summary/Keyword: Nikolski type inequalities

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ESTIMATES OF CHRISTOFFEL RUNCTIONS FOR GENERALIZED POLYNOMIALS WITH EXPONENTIAL WEIGHTS

  • Joung, Hae-Won
    • Communications of the Korean Mathematical Society
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    • v.14 no.1
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    • pp.121-134
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    • 1999
  • Generalized nonnegative polynomials are defined as the products of nonnegative polynomials raised to positive real powers. The generalized degree can be defined in a natural way. We extend some results on Infinite-Finite range inequalities, Christoffel functions, and Nikolski type inequalities corresponding to weights W\ulcorner(x)=exp(-|x|\ulcorner), $\alpha$>0, to those for generalized nonnegative polynomials.

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