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Published in:
2018 | OriginalPaper | Chapter
Asymptotically sharp inequalities for polynomials involving mixed Hermite norms
Author : Holger Langenau
Published in: The Diversity and Beauty of Applied Operator Theory
Publisher: Springer International Publishing
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The paper concerns best constants in Markov-type inequalities between the norm of a higher derivative of a polynomial and the norm of the polynomial itself. The norm of the polynomial and its derivative is taken in L2 on the real axis with the weight |t|2α e –t2 and |t|2β e –t2, respectively. We determine the leading term of the asymptotics of the constants as the degree of the polynomial goes to infinity.