|Table of Contents|

Study on the Nature of Λ-Function of Bounded Variation(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2010年02期
Page:
21-25
Research Field:
数学
Publishing date:

Info

Title:
Study on the Nature of Λ-Function of Bounded Variation
Author(s):
Zhu Jianguo1; Zhang Jie2
1.Basic Department,Nanjing Institute of Industry Technology,Nanjing 210046,China 2. College ofM ath& Phys ics, Nan j ing Un iversity of In form ation Science& Technology, Nan jing 210044, China
Keywords:
function o f bounded variation;  Λ-function o f bounded va riation;  essen tia l va riation;  Λ- essentia l variation
PACS:
O174.41
DOI:
-
Abstract:
Th is paperm a inly expounds the nature o f Λ- function of bounded variation, discusses the connec tion betw een the Λ- function of bounded variation and the function o f bounded variation. At the sam e tim e, this paper expands the concept o f essential var ia tion to Λ- func tion o f bounded variation, and g ives the re levan t justification.

References:

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[ 2] W a term an D. On the summ ability o f fourier ser ies of functions o f +-bounded variation[ J]. S tudiaM ath, 1976, 55: 97-109.
[ 3] W a term an D. On +-bounded var iation[ J]. Stud iaM ath, 1976, 57: 33-45.
[ 4] 夏道行, 严绍宗. 实变函数与应用泛函分析基础[M ] . 上海: 上海科学技术出版社, 1987.
[ 5] 周民强. 实变函数论[M ]. 北京: 北京大学出版社, 2001.
[ 6] Pau lo R Zingano, Stanly L Ste inberg. On the hardy- littlewood theorem fo r functions of bounded variation[ J]. S iam JM ath Anal, 2002, 33( 5): 1 199-1 210.

Memo

Memo:
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Last Update: 2013-04-08