期刊信息

- 刊名: 河北师范大学学报(自然科学版)Journal of Hebei Normal University (Natural Science)
- 主办: 河北师范大学
- ISSN: 1000-5854
- CN: 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
离散变限积分函数的相关性质及其差分
- (1.河北师范大学 数学科学学院,石家庄 050024; 2.海口市第二十七小学, 海口 570100)
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DOI:
10.13763/j.cnki.jhebnu.nse.202501010
The Related Properties and Their Differences of Discrete Variable Limit Integral Functions
摘要/Abstract
摘要:
变限积分函数是一类特殊的函数,特别是离散型的变限积分函数,其存在使得可积函数的原函数能够用定积分表示.采用差分算子的定义、性质及分析学等知识,给出含参变量及不含参变量的离散变限积分函数的性质及其差分,并给出实例验证.
Abstract:
Variable limit integral functions are a special type of function,especially for the discrete variable limit integral function,which could represent the original functions of the integral functions using the definite integral.This article utilizes the definitions and properties of difference operators,and analytical knowledge to provide the related properties and their differences of discrete variable limit integral functions with and without parameter variables,and provides several examples to verify the obtained results.
关键词
参考文献 7
- [1] 匡继昌.含参变量的变上限函数的导数公式[J].北京教育学院学报(自然科学版),2014,9(4):1-6.doi:10.3969/j.issn.1673-6923.2014.04.001 KUANG Jichang.Derivative Formula of Variable Upper Limit Function with a Parameter[J].Journal of Beijing Institute of Education(Natural Science Edition),2014,9(4):1-6.
- [2] 朱忠华.变限积分函数的求导和应用[J].教育教学论坛,2017(38):211-213.doi:10.3969/j.issn.1674-9324.2017.38.092 ZHU Zhonghua.The Derivative and Application of Variable Limit Integral Function[J].Education Teaching Forum,2017(38):211-213.
- [3] 马蔚华.积分上限函数的性质及其应用[J].吉首大学学报(自然科学版),1987,8(2):82-87. MA Weihua.Properties and Application of Integral Upper Bound Function[J].Journal of Jishou University(Natural Science Edition),1987,8(2):82-87.
- [4] 庄毅杰.变上限积分确定的复合函数初探[J].漳州职业大学学报,2003,5(3):72-73.doi:10.13908/j.cnki.issn1673-1417.2003.03.020 ZHUANG Yijie.Preliminary Study on Compound Function of Variable Upper Bound Integral Determination[J].Journal of Zhangzhou Vocational University,2003,5(3):72-73.
- [5] 刘华.关于变上限积分所确定的复合函数的若干性质与应用的探讨[J].齐齐哈尔大学学报(自然科学版),2010,26(1):81-84.doi:10.3969/j.issn.1007-984X.2010.01.028 LIU Hua.Study on the some Property and Application of Compound Function Which Is Definited by Integration of Variable Upper Limit[J].Journal of Qiqihar University(Natural Science Edition),2010,26(1):81-84.
- [6] 刘金魁,张利巧.关于积分复合上限函数的初等性质研究[J].凯里学院学报,2017,35(3):14-15.doi:10.3969/j.issn.1673-9329.2017.03.05 LIU Jinkui,ZHANG Liqiao.Study on the Elementary Properties of Integral Compound Upper Bound Function[J].Journal of Kaili University,2017,35(3):14-15.
- [7] GOODRICH C,PETERSON A C.Discrete Fractional Calculus[M].Switzerland:Springer Cham,2015.