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时标上一类函数项级数的逐项求导准则
引用本文:王俊俊,郭丽娟,闫海婷.时标上一类函数项级数的逐项求导准则[J].平顶山学院学报,2014(5):12-14.
作者姓名:王俊俊  郭丽娟  闫海婷
作者单位:平顶山学院 数学与信息科学学院,河南 平顶山,467099
摘    要:利用时标上Δ-测度及Lebesgue-Δ积分给出了一个时标上一类函数项级数的逐项求导准则.其结果是不仅得到了一个新的有关时标上函数项级数逐项求导准则,也由于利用了Lebesgue-Δ积分,简化了定理的判定条件.

关 键 词:逐项求导  Δ-测度  Lebesgue-Δ积分  函数项级数  时标

Criteria for the Termwise Derivation of Function Series on Time Scales
WANG Junjun,GUO Lijuan,YAN Haiting.Criteria for the Termwise Derivation of Function Series on Time Scales[J].Journal of Pingdingshan University,2014(5):12-14.
Authors:WANG Junjun  GUO Lijuan  YAN Haiting
Institution:,School of Mathematics and Information Science,Pingdingshan University
Abstract:The purpose of this paper is to give criteria for the termwise derivation of a kind of function series by using Δ- measure and Lebesgue- Δ integral. The results not only gain a new termwise derivation of a kind of function series but also simplify the way of determining the termwise derivation of a kind of function series. And some examples are given at last.
Keywords:termwise derivation  Δ - measure  Lebesgue - Δ integral  function series  time scales
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