Numerical Integration Based on Nested Taylor Decomposition of Univariate Functions under Fluctuationlessness Approximation

摘要

The application of the Fluctuationlessness theorem to the remainder term of Taylor decomposition on which both sides are integrated has been already worked on. In this work the novelty brought to the previous work is to apply the Fluctuationlessness theorem to the remainder part which, itself also is decomposed in Taylor sense.