Taylor's Expansion Revisited: A General Formula for the Remainder | Zendy

José Juan Rodríguez Cano | Zendy; Enrique de Amo | Zendy

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Taylor's Expansion Revisited: A General Formula for the Remainder

Author(s) -

José Juan Rodríguez Cano,

Enrique de Amo

Publication year - 2012

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2012/645736

Subject(s) - remainder , mathematics , taylor series , taylor's theorem , generalization , cauchy distribution , lebesgue integration , pure mathematics , cauchy's integral formula , calculus (dental) , mathematical analysis , initial value problem , cauchy problem , arithmetic , medicine , dentistry

We give a new approach to Taylor's remainder formula, via a generalization of Cauchy's generalized mean value theorem, which allows usto include the well-known Schölomilch, Lebesgue, Cauchy, and the Eulerclassic types, as particular cases

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