时标上一类函数项级数的逐项求导准则  

Criteria for the Termwise Derivation of Function Series on Time Scales

作　　者：王俊俊[1] 郭丽娟[1] 闫海婷 

机构地区：[1]平顶山学院数学与信息科学学院,河南平顶山467099

出　　处：《平顶山学院学报》2014年第5期12-14,共3页Journal of Pingdingshan University

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.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.

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

分 类 号：O175.12[理学—数学]