Title

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

Authors

Authors

H. Carley; X. Li;R. N. Mohapatra

Abbreviated Journal Title

J. Approx. Theory

Keywords

Mathematics

Abstract

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.

Journal Title

Journal of Approximation Theory

Volume

113

Issue/Number

2

Publication Date

1-1-2001

Document Type

Article

Language

English

First Page

221

Last Page

228

WOS Identifier

WOS:000173323900005

ISSN

0021-9045

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