Lebesgue-Radon-Nikodym theorem with respect to \(q\)-Volkenborn distribution on \(\mu_{q}\)

DOI10.1016/j.amc.2006.08.123zbMath1228.11172OpenAlexW1990444182MaRDI QIDQ884117

Taekyun Kim

Publication date: 13 June 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.08.123

zbMATH Keywords

Lebesgue decompositionBernoulli numbers\(q\)-Volkenborn integral\(p\)-adic \(q\)-invariant measureLebesgue-Radon-Nikodym theorem

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80)

Related Items

A note on the analogue of Lebesgue-Radon-Nikodym theorem with respect to weighted \(p\)-adic \(q\)-measure on \(\mathbb Z_p\) ⋮ A note on the Lebesgue-Radon-Nikodym theorem with respect to weighted \(p\)-adic invariant integral on \(\mathbb Z_p\) ⋮ Lebesgue-Radon-Nikodým theorem with respect to fermionic \(p\)-adic invariant measure on \(\mathbb Z_p\) ⋮ A note on Hölder type inequality for the fermionic \(p\)-adic invariant \(q\)-integral ⋮ PROBABILISTIC DERIVATION OF A q-POLYNOMIALS TRANSFORMATION FORMULA ⋮ Radon-Nikodym theorem with respect to \((\rho,q)\)-measure on \(\mathbb Z_p\)

Cites Work

• \(q\)-Volkenborn integration
• An Invariant P -Adic Integral Associated with Daehee Numbers
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