Nonstandard Analysis in Mathematical Economics

Sun, Yeneng

doi:10.1007/978-94-017-7327-0_9

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2021

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“…There were a number of studies have examined a results on nonstandard analysis and its applications. Sun (2015) were introduced an applications economics, Similary (Duanmu, 2018) were applied the nonstandard analysis to Markov processes and Statistical Decision theory. An interesting application of a transfer principle for continuations of real functions to Levi-Civita field has been presented by (Bottazzi, 2018).…”

Section: Introductionmentioning

confidence: 99%

Nonstandard Analysis for Some Convergence Sequences Theories Via a Transfer Principle

Jwahir-H-Gdal¹

2021

American Journal of Applied Sciences

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The purpose of this article to introduce nonstandard models for a familiar types of convergent sequences theories through a transfer principle. The nonstandard analysis principle discuss, that any statements on areal system can be extended to a similar structure over larger hyperreal system therefore the results that hold true on the original system, remains true in a hyperreal system if and only if its *-transform is true. We apply such technique to transfer a classical proof for real sequences theorems, therefore we obtain an equivalents nonstandard proof on hyperreal system which is often clear, shorter and uncoblicated.

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Section: Introductionmentioning

confidence: 99%