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On a polynomial inequality of Kolmogoroff's type |
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| Authors: | B. D. Bojanov A. K. Varma |
| Affiliation: | Department of Mathematics, University of Sofia, Blvd. James Boucher 5, 1126 Sofia, Bulgaria ; Department of Mathematics, University of Florida, Gainesville, Florida 32611 |
| Abstract: | We prove an inequality of the form
for polynomials of degree |
| Keywords: | |
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and any fixed 
. Here 
is the 
-norm on 
with a weight 
. The coefficients 
and 
are given explicitly and depend on 
and 
only. The equality is attained for the Hermite orthogonal polynomials 
.