A note on the analogue of Lebesgue-Radon-Nikodym theorem with respect to weighted \(p\)-adic \(q\)-measure on \(\mathbb Z_p\)

DOI10.1186/1029-242X-2013-15zbMath1338.11103WikidataQ59294613 ScholiaQ59294613MaRDI QIDQ389165

Hong Kyung Pak, Joohee Jeong, Seong-Hoon Rim

Publication date: 17 January 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

\(p\)-adic \(q\)-measureanalogue of Lebesgue-Radon-Nikodym theorem

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Miscellaneous topics in measure theory (28E99)

Related Items (1)

A note on the von Staudt-Clausen's theorem for the weighted \( q\)-Genocchi numbers

Cites Work

• New approach to \(q\)-Euler polynomials of higher order
• A note on \(q\)-Bernstein polynomials
• Identities involving values of Bernstein, \(q\)-Bernoulli, and \(q\)-Euler polynomials
• Lebesgue-Radon-Nikodym theorem with respect to \(q\)-Volkenborn distribution on \(\mu_{q}\)
• Lebesgue-Radon-Nikodým theorem with respect to fermionic \(p\)-adic invariant measure on \(\mathbb Z_p\)
• Some identities on the \(q\)-Euler polynomials of higher order and \(q\)-Stirling numbers by the fermionic \(p\)-adic integral on \(\mathbb Z_p\)
• A NOTE ON THE q-ANALOGUES OF EULER NUMBERS AND POLYNOMIALS

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