대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제14권1호
  • /
  • Pages.121-134
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  • 1999
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

ESTIMATES OF CHRISTOFFEL RUNCTIONS FOR GENERALIZED POLYNOMIALS WITH EXPONENTIAL WEIGHTS

  • 발행 : 1999.01.01
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초록

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.

키워드

참고문헌

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