ON A POLYNOMIAL INEQUALITY OF KOLMOGOROVS TYPE

Authors
BOJANOV BD VARMA AK
Citation
Bd. Bojanov et Ak. Varma, ON A POLYNOMIAL INEQUALITY OF KOLMOGOROVS TYPE, Proceedings of the American Mathematical Society, 124(2), 1996, pp. 491-496
Citations number
5
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
124
Issue
2
Year of publication
1996
Pages
491 - 496
Database
ISI
SICI code
0002-9939(1996)124:2<491:OAPIOK>2.0.ZU;2-P
Abstract
We prove an inequality of the form \\f((j))\\(2) less than or equal to A\\f((m))\\(2) + B\\f\\(2) for polynomials of degree n and any fixed 0 < j < m less than or equal to n. Here \\.\\ is the L(2)-norm on (-in finity, infinity) with a weight e-(t2). The coefficient A and B are gi ven explicitly and depend on j, m and n only. The equality is attained for the Hermite orthogonal polynomials H-n(t).