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On the Error Analysis Associated with the Newton-Cotes Formulae
International Journal of Computer Mathematics, 2002In the current paper, the truncation error (TE) for both the closed and open Newton-Cotes quadrature formulae for numerical integration is investigated and calculated for n = 1, 2, @, 12 in both cases.
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An Extension of the Leibniz-Newton Formula
2004In this section we are going to present a slight extension of the Leibniz-Newton formula for the computation of the definite integral, an extension that can be applied also in the case of some integrable functions which do not admit ...
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Generalized Newton–Leibniz Formula
2016One of the (if not the) most important theorems of classical analysis is the Newton–Leibniz formula: $$\displaystyle{ \int _{a}^{b}f\ dx = F(b) - F(a), }$$ allowing us to compute many integrals. The purpose of this chapter is to extend its validity to Lebesgue integrable functions.
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Newton's Interpolation Formulas. An unpublished Manuscript of Sir Isaac Newton
Journal of the Institute of Actuaries, 1927The mortality of Europeans in West Africa has on several occasions been the subject of discussion in this Institute or of note in the pages of the Journal. In 1886 Dr. T. B. Sprague read a paper on the mortality of Europeans in the Congo, based on the statistics from Stanley's work on the Pounding of the Free State: In 1892 Dr. T. G. Lyon contributed a
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NEWTON POLYHEDRA AND THE EULER-JACOBI FORMULA
Russian Mathematical Surveys, 1978openaire +2 more sources
On Average Newton-Cotes Quadrature Formulas
IMA Journal of Applied Mathematics, 1978openaire +1 more source
Newton's Interpolation Formulas. Further Notes
Journal of the Institute of Actuaries, 1919openaire +1 more source