From Lobatto Quadrature to the Euler Constant e

• Autores: Sanjay K. Khattri
• Localización: Primus: problems, resources, and issues in mathematics undergraduate studies, ISSN 1051-1970, Vol. 20, Nº. 6, 2010, págs. 488-497
• Idioma: inglés
• DOI: 10.1080/10511970802509682
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• Resumen

  • Based on the Lobatto quadrature, we develop several new closed form approximations to the mathematical constant e. For validating effectiveness of our approximations, a comparison of our results to the existing approximations is also presented. Another objective of our work is to inspire students to formulate other better approximations by using the presented approach. Because of the level of mathematics, the presented work is easily embraceable in an undergraduate class.