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Historical synopsis of the Taylor remainder
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science. Department of Computer Science and Computational Engineering UiT,The Arctic University of Norway, Campus Narvik .
Ponticia Universidad Javeriana, Departamento de Matematicas Facultad de Ciencias.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0001-8211-3671
2017 (English)In: Note di Matematica, ISSN 1123-2536, E-ISSN 1590-0932, Vol. 37, no 1, p. 1-21Article in journal (Refereed) Published
Abstract [en]

In this paper we give an historical synopsis of various Taylor remainders and theirdierent proofs (without being exhaustive). We overview the formulas and the proofs given bysuch names as Bernoulli, Taylor, MacLaurin, Lagrange, Lacroix, Cauchy, Schlomilch, Roche,Cox, Turquan, Bourget, Koenig, Darboux, Amigues, Teixeira, Peano, Blumenthal, Wolfe andGoncalves. We end the paper with a new Taylor remainder which generalizes the well-knownLagrange remainder.

Place, publisher, year, edition, pages
Aracne editrice, 2017. Vol. 37, no 1, p. 1-21
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-66819DOI: 10.1285/i15900932v37n1p1Scopus ID: 2-s2.0-85039711338OAI: oai:DiVA.org:ltu-66819DiVA, id: diva2:1161145
Note

Validerad;2017;Nivå 2;2017-11-29 (andbra)

Available from: 2017-11-29 Created: 2017-11-29 Last updated: 2018-01-15Bibliographically approved

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