期刊信息
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- 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
用Beta算子逼近具有第1类间断点的函数
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1. 河北师范大学, 数学与信息科学学院, 河北, 石家庄, 050016;
2. 石家庄市第15中学, 河北, 石家庄, 050012 -
DOI:
On Approximation by Beta Operators for Functions Having Discontinuity Points of the First Kind
摘要/Abstract
摘要:
研究了 Beta算子关于具有第 1类不连续点函数的逼近 ,利用点态连续模kx(f,t)和正规算子方法,得到了Beta算子对具有第1类不连续点函数的逼近结果,从而推广了 Beta算子对有界变差函数的逼近。
Abstract:
Investigate the degree of approximation by Beta operators for functions which have only discontinuity points of the first kind on (0,∞),use the pointwise modulus of continuity kx(f,t) and normal operator technique,obtain the a pproximation result on functions which have only discontinuity points of the first kind by Beta operators, extend the result on functions of bounded variation.
关键词
Key words:
approximation
;
pointwise modulus of smoothness
;
Beta operators