Functions and Analysis


Expansion Into Bernoulli Polynomials Based on Matching Definite Integrals of Derivatives

Authors: Andrej Liptaj

A method of function expansion is presented. It is based on matching the definite integrals of the derivatives of the function to be approximated by a series of (scaled) Bernoulli polynomials. The method is fully integral-based, easy to construct and presumably slightly outperforms Taylor series in the convergence rate. Text presents already known results.

Comments: 8 Pages.

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Submission history

[v1] 2018-03-01 03:59:30
[v2] 2018-03-01 15:48:19
[v3] 2018-03-05 04:58:02

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