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Asymptotically sharp inequalities for polynomials involving mixed Laguerre norms.
- Source :
-
Linear Algebra & its Applications . Oct2014, Vol. 458, p116-127. 12p. - Publication Year :
- 2014
-
Abstract
- 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 half-line with the weight tαe-t and tβe-t, respectively. Under the assumption that β-α is larger than the order of the derivative, we determine the leading term of the asymptotics of the constants as the degree of the polynomial goes to infinity, thus proving a conjecture raised by Böttcher and Dörfler in 2010 [4]. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 458
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 97245349
- Full Text :
- https://doi.org/10.1016/j.laa.2014.06.013