Taylor's Expansion Revisited: A General Formula for the Remainder
We give a new approach to Taylor's remainder formula, via a generalization of Cauchy's generalized mean value theorem, which allows us to include the well-known Schölomilch, Lebesgue, Cauchy, and the Euler classic types, as particular cases.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/645736 |
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doaj-b2a97d5dde9f4fe7b284be5f4df131392020-11-24T22:32:25ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/645736645736Taylor's Expansion Revisited: A General Formula for the RemainderJosé Juan Rodríguez Cano0Enrique de Amo1Department of Algebra and Mathematical Analysis, University of Almería, Almería, 04120 Andalucía, SpainDepartment of Algebra and Mathematical Analysis, University of Almería, Almería, 04120 Andalucía, SpainWe give a new approach to Taylor's remainder formula, via a generalization of Cauchy's generalized mean value theorem, which allows us to include the well-known Schölomilch, Lebesgue, Cauchy, and the Euler classic types, as particular cases.http://dx.doi.org/10.1155/2012/645736 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
José Juan Rodríguez Cano Enrique de Amo |
| spellingShingle |
José Juan Rodríguez Cano Enrique de Amo Taylor's Expansion Revisited: A General Formula for the Remainder International Journal of Mathematics and Mathematical Sciences |
| author_facet |
José Juan Rodríguez Cano Enrique de Amo |
| author_sort |
José Juan Rodríguez Cano |
| title |
Taylor's Expansion Revisited: A General Formula for the Remainder |
| title_short |
Taylor's Expansion Revisited: A General Formula for the Remainder |
| title_full |
Taylor's Expansion Revisited: A General Formula for the Remainder |
| title_fullStr |
Taylor's Expansion Revisited: A General Formula for the Remainder |
| title_full_unstemmed |
Taylor's Expansion Revisited: A General Formula for the Remainder |
| title_sort |
taylor's expansion revisited: a general formula for the remainder |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2012-01-01 |
| description |
We give a new approach to Taylor's remainder formula, via a generalization of Cauchy's generalized mean value theorem, which allows us
to include the well-known Schölomilch, Lebesgue, Cauchy, and the Euler
classic types, as particular cases. |
| url |
http://dx.doi.org/10.1155/2012/645736 |
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AT josejuanrodriguezcano taylorsexpansionrevisitedageneralformulafortheremainder AT enriquedeamo taylorsexpansionrevisitedageneralformulafortheremainder |
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