Lebesgue-Radon-Nikodym theorem with respect to q-Volkenborn distribution on μq

被引：9
|
作者：
Kim, Taekyun [1 ]
机构：
[1] Kyungpook Natl Univ, EECS, Taegu 702701, South Korea
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 187卷 / 01期
关键词：
p-adic q-invariant measure; Lebesgue decomposition; q-Volkenborn integral; Lebesgue-Radon-Nikodym theorem; Bernoulli numbers;
D O I：
10.1016/j.amc.2006.08.123
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to derive the analogue of the Lebesgue-Radon-Nikodym theorem with respect to p-adic q-invariant distribution on Zp which is defined by author in Kim (2002) [T. Kim, q-Volkenborn integration, Russian J. Math. Phys. 9 (2002) 288-299]. (C) 2006 Elsevier Inc. All rights reserved.
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页码：266 / 271
页数：6
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