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

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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].

论文关键词：p-adic q-invariant measure,Lebesgue decomposition,q-Volkenborn integral,Lebesgue–Radon–Nikodym theorem,Bernoulli numbers

论文评审过程：Available online 11 October 2006.

论文官网地址：https://doi.org/10.1016/j.amc.2006.08.123