On van der Corput-type lemmas for Bessel and Airy transforms and applications

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:351

Article

Xiang, Shuhuang¹ 

[1] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

关键词: Airy transform;    Asymptotic;    Bessel transform;    Convergence rate;    Highly oscillatory integral;   

DOI  :  10.1016/j.cam.2018.11.007

来源: Elsevier

【 摘 要 】

This paper presents van der Corput-type lemmas for Bessel and Airy transforms with shifted Jacobi weight functions. These results on the asymptotic orders of the highly oscillatory integrals on the frequency are optimal. Furthermore, from these estimates, the convergence rates on Filon-type methods are easily derived. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

Free