On the (C,1) summability method of improper integrals
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摘要
In this paper we prove a Tauberian-like theorem to retrieve the slow oscillation of a real-valued function s(x) from its (C,1) summability of the generator sequence v(x) and one-sidedly boundedness of the general control modulo of integer order m⩾1 with respect to a function satisfying an appropriate condition.
论文关键词:Tauberian theorems and conditions,(C,1) summability of integral,De la Vallée Poussin means,Slowly oscillating functions,General control modulo
论文评审过程:Available online 21 June 2013.
论文官网地址:https://doi.org/10.1016/j.amc.2013.05.026