Uniform approximations to finite Hilbert transform and its derivative

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摘要

Interpolatory integration rules of numerical stability are presented for approximating Cauchy principal value (p.v.) integrals ⨍−11f(t)/(t−c)dt and Hadamard finite part (f.p.) integrals ∫=−11f(t)/(t−c)2dt, −1

论文关键词：Qaudrature rules,Cauchy principal value integrals,Hadamard finite part integrals,Error analysis

论文评审过程：Received 28 November 2002, Revised 5 March 2003, Available online 1 December 2003.

论文官网地址：https://doi.org/10.1016/j.cam.2003.08.059