Comparison of Some Trigonometric Integrals

被引：1
|
作者：
Sworowski, P. A. [1 ]
Skvortsov, V. A. [2 ]
机构：
[1] Casimirus Great Univ, PL-85064 Bydgoszcz, Poland
[2] Lomonosov Moscow State Univ, Moscow 119991, Russia
来源：
MATHEMATICAL NOTES | 2018年 / 104卷 / 1-2期
关键词：
symmetric Cesaro derivative; approximate symmetric derivative; Denjoy's totalization T-2s; Burkill's SCP-integral; Preiss-Thomson's AS-integral; James' P-2-integral;
D O I：
10.1134/S0001434618070313
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that Preiss-Thomson's AS-integral is inconsistent with Burkill's SCPintegral, James' P-2-integral, and Denjoy's totalization T-2s over the class of functions with continuous primitives.
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页码：303 / 308
页数：6
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