ESTIMATES OF CHRISTOFFEL RUNCTIONS FOR GENERALIZED POLYNOMIALS WITH EXPONENTIAL WEIGHTS

  • Published : 1999.01.01

Abstract

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.

Keywords

References

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