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Mean Value Theorems for Vector Valued Functions
| Content Provider | Scilit |
|---|---|
| Author | McLeod, Robert M. |
| Copyright Year | 1965 |
| Description | The object of this paper is to give a generalisation to vector valued functions of the classical mean value theorem of differential calculus. In that theorem we have for some c in the open interval a, b when f is a real valued function which is continuous on the closed interval a, b and differentiable on the open interval. The counterpart to (1) when f has values in an n-dimensional vector space turns out to be where $c_{k}$a, b, 0$ _{k}$, and . |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/D69827D0E2B42D75446D37731C12EB47/S0013091500008786a.pdf/div-class-title-mean-value-theorems-for-vector-valued-functions-div.pdf |
| Ending Page | 209 |
| Page Count | 13 |
| Starting Page | 197 |
| ISSN | 00130915 |
| e-ISSN | 14643839 |
| DOI | 10.1017/s0013091500008786 |
| Journal | Proceedings of the Edinburgh Mathematical Society |
| Issue Number | 3 |
| Volume Number | 14 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 1965-06-01 |
| Access Restriction | Open |
| Subject Keyword | Proceedings of the Edinburgh Mathematical Society |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |