A dominated convergence theorem in the K-H integral

被引：0

作者：

Lu, JT ^{[1
]}

Lee, PY ^{[1
]}

机构：

[1] Nanyang Technol Univ, Natl Inst Educ, Singapore 637616, Singapore

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2003年 / 7卷 / 03期

关键词：

dominated convergence theorem; the K-H integral; Major function; Minor function; Riesz type definition of the K-H integral;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we give a nonabsolute dominated convergence theorem for the K-H integral on the real line. Furthermore, as the converse part, we also give a corresponding Riesz type definition of the K-H integral.

引用

页码：507 / 512

页数：6

共 50 条

[21] The Monotone Convergence Theorem for the Riemann Integral
Niculescu, Constantin P.
Popovici, Florin
ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2011, 38 (02): : 55 - 58
[22] Monotone Convergence Theorem for the Riemann Integral
Thomson, Brian S.
AMERICAN MATHEMATICAL MONTHLY, 2010, 117 (06): : 547 - 550
[23] A BOUNDED CONVERGENCE THEOREM FOR THE FEYNMAN INTEGRAL
JOHNSON, GW
JOURNAL OF MATHEMATICAL PHYSICS, 1984, 25 (05) : 1323 - 1326
[24] Mining Patterns in Big Data K-H Networks
Hamed, Ahmed Abdeen
Wu, Xindong
Fandy, Tamer
2014 IEEE/ACS 11TH INTERNATIONAL CONFERENCE ON COMPUTER SYSTEMS AND APPLICATIONS (AICCSA), 2014, : 176 - 183
[25] Devil＇s　Staircase　of　K－H　Waves　in　a　SeparatingShearLayerwithAcousticExcitation
Communications in Nonlinear Science and Numerical Simulation, 1996, (01) : 44 - 46
[26] AN APPLICATION OF THE DOMINATED CONVERGENCE THEOREM TO MATHEMATICAL-STATISTICS
BRAGG, LR
GROSSMAN, JW
MATHEMATICS MAGAZINE, 1983, 56 (01) : 41 - 42
[27] Algorithmic randomness, reverse mathematics, and the dominated convergence theorem
Avigad, Jeremy
Dean, Edward T.
Rute, Jason
ANNALS OF PURE AND APPLIED LOGIC, 2012, 163 (12) : 1854 - 1864
[28] THE CONTROLLED CONVERGENCE THEOREM FOR THE GAP-INTEGRAL
Ganguly, D. K.
Mukherjee, Ranu
MATHEMATICA SLOVACA, 2015, 65 (05) : 1013 - 1026
[29] A CONVERGENCE THEOREM FOR SINGULAR INTEGRAL-EQUATIONS
ELLIOTT, D
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1981, 22 : 539 - 552
[30] On a convergence theorem for semigroups of positive integral operators
Gerlach, Moritz
Glueck, Jochen
COMPTES RENDUS MATHEMATIQUE, 2017, 355 (09) : 973 - 976

← 1 2 3 4 5 →