A weighted polynomial inequality

Lubinsky, D. S.

doi:10.1090/S0002-9939-1984-0754716-9

A weighted polynomial inequality
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by D. S. Lubinsky

Proc. Amer. Math. Soc. 92 (1984), 263-267

DOI: https://doi.org/10.1090/S0002-9939-1984-0754716-9

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Abstract:

In the theory of orthogonal polynomials for weights with noncompact support, much use is made of inequalities relating weighted integrals of polynomials over infinite and finite ranges. Using a short new method of proof, we show such inequalities hold for very general weights in ${L_p}$ and certain Orlicz spaces.

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