RESULTS ON SEQUENCES OF HERMITE-PADE, INTEGRAL APPROXIMANTS

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:47

Article

关键词: HERMITE-PADE APPROXIMANT;    INTEGRAL APPROXIMANT;    DIFFERENTIAL APPROXIMANT;    PADE APPROXIMANT;    DIFFERENTIAL EQUATIONS;   

DOI  :  10.1016/0377-0427(93)90006-W

来源: Elsevier

【 摘 要 】

The convergence of ''horizontal'' sequences of Hermite-Pade, integral approximants is studied by both numerical and theoretical methods. For functions with their nearest singularity of the algebraic type at z = 1 we complement previously proven convergence inside the unit circle by proving divergence outside the unit circle of sequences of the [L/M; 1] type where M remains fixed and L --> infinity.

【 授权许可】

Free