On the Order of Functions

Zhi-min LUO

Abstract


This paper introduces a new definition of function order with an example. By using the properties of order operation and order estimation, we obtain the conclusions about the order relation and convergence/divergence of infinite series, and extend the Hardy-Littlewood Theorem.

Keywords


Order, Series, Convergence, Divergence


DOI
10.12783/dteees/icepe2019/28974

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