Explicit Bounds for Hermite Polynomials in the Oscillatory Region-Reference-Cited by-同舟云学术

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Explicit Bounds for Hermite Polynomials in the Oscillatory Region

Published:2000 Issue: Volume:3 Page:307-314
ISSN:1461-1570
Container-title:LMS Journal of Computation and Mathematics
language:en
Short-container-title:LMS J. Comput. Math.

Author:

Foster William H.,Krasikov Ilia

Abstract

AbstractWe apply a method of positive quadratic forms based on polynomial inequalities to establish sharp explicit bounds on the envelope of Hermite polynomials in the oscillatory region |x| < (2k – 3/2)1/2.

Publisher

Wiley

Subject

Computational Theory and Mathematics,General Mathematics

Reference11 articles.

1. ‘Nonnegative quadratic forms and bounds on orthogonal polynomials;Krasikov;Journal Approx. Theory

2. ‘Bounds for orthogonal polynomials for exponential weights on (−1, 1) and (−∞, ∞)’;Levin;Rend. Circ. Mat. Palermo (2) Suppl.,1993

3. Strong asymptotics of orthogonal polynomials with respect to exponential weights

4. ‘Bounds for the extreme roots of orthogonal polynomials’;Foster;Internat. J. Math. Algorithms

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