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.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
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 |
| Summary: | 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. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |