Analytic theory of finite asymptotic expansions in the real domain. Part I: two-term expansions of differentiable functions |
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| Authors: | Antonio Granata |
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| Institution: | 1. Dipartimento di Matematica, Universit?? della Calabria, 87036, Rende, Cosenza, Italy
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| Abstract: | We establish a general analytic theory of asymptotic expansions of type 1 $$f(x) = a_1 \varphi _1 (x) + \cdots + a_n \varphi _n (x) + o(\varphi _n (x)) x \to x_0 ,$$ , where the given ordered n-tuple of real-valued functions (? 1, ..., ? n ) forms an asymptotic scale at x 0 ??  | |
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