On the Approximation of Double Limits by Single Limits and the Kaplun Extension Theorem
- 1 September 1967
- journal article
- Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics
- Vol. 3 (3) , 245-249
- https://doi.org/10.1093/imamat/3.3.245
Abstract
Suppose a function is defined implicitly by some relation dependent on two parameters t and ε. It is shown how a double limit with respect to them can be studied by means of a suitable single limit, in which t = t(ε). The ideas of Kaplun & Lagerstrom (1957) are used, and a version of their extension theorem is stated and proved.Keywords
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