A sharp inequality of Markov type for polynomials associated with Laguerre weight

[摘要] The best possible constant A(n) in an inequality of Markov type parallel tod/dx(e(-x)p(n)(x))parallel to([0,infinity)) less than or equal to Anparallel toe(-x)p(n)(x)parallel to([0,infinity)). where parallel to.parallel to([0,x)) denotes the sup-norm on the half real line [0, infinity) and p(n) is an arbitrary polynomial of degree at most n, is determined in terms of the weighted Chebyshev polynomials associated with the Laguerre weight e(-x) on [0, infinity). (C) 2001 Academic Press.

[发布日期] 2001-12-01