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A New Approach to the Lebesgue-Radon-Nikodym Theorem with respect to Weighted p-adic Invariant Integral on Zp
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We will give a new proof of the Lebesgue-Radon-Nikodym theorem with respect to weighted p-adic q-measure on Zp, using Mahler expansion of continuous functions, studied by the authors in 2012. In the special case, q =1, we can derive the same result as in Kim, 2012, Kim et al, 2011.
Abstract
We will give a new proof of the Lebesgue-Radon-Nikodym theorem with respect to weighted p-adic q-measure on Zp, using Mahler expansion of continuous functions, studied by the authors in 2012. In the special case, q =1, we can derive the same result as in Kim, 2012, Kim et al, 2011.
참고문헌 (13)
- A. Bayad, "Identities involving values of Bernstein, q-Bernoulli, and q- Euler polynomials", Russ. J. Math. Phys., 18(2), pp.133~143 (2011)
- 최준상, "A NOTE ON THE q-ANALOGUES OF EULER NUMBERS AND POLYNOMIALS", 호남수학학술지, 33(4), pp.529~534 (2011), 호남수학회
- T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys., 9(3), pp.288~299 (2002)
- T. Kim, "Lebesgue-Radon-Nikodym theorem with respect to fermionic p-adic invariant measure on Zp", Russ. J. Math. Phys., 19(2), pp.193~196 (2012)
- T. Kim, "Lebesgue-Radon-Nikodym theorem with respect to fermionic q-Volkenborn distribution on -q", Appl. Math. Comp., 187, pp.266~271 (2007)
- T. Kim, "A note on q-Bernstein polynomials", Russ. J. Math. Phys., 18(1), pp.73~82 (2011)
- T. Kim, "Note on the Euler numbers and polynomials", Advanced Studies in Contemporary Mathematics, 17(2), pp.131~136 (2008), 장전수학회
- T. Kim, "Some identities on the q-Euler polynomials of higher order and q-Stirling numbers by the fermionic p-adic integral on Zp", Russ. J. Math. Phys., 16, pp.484~491 (2009)
- T. Kim, "New approach to q-Euler polynimials of higher order, Russ", J. Math. Phys., 17, pp.218~225 (2010)
- T. Kim, "A note on the weighted Lebesgue-Radon-Nikodym theorem with respect to p-adic invariant integral on Zp", JAMI
- T. Kim, "Analogue of Lebesgue-Radon-Nikodym theorem with respect to p-adic q-measure on Zp", Abstract and Applied Analysis (2011)
- T. Kim, "On Uniformly differntiabitity and q-Mahler expansion", Adv. Stud. Contemp. Math., 4, pp.35~41 (2001)
- J. Jeong, "A Note on the Lebesgue-Radon-Nikidym Theorem with respect to Weighted p-adic Invariant Integral on Zp", Abstract and Applied Analysis (2012)
관련 논문AI추천
A NOTE ON THE WEIGHTED p-ADIC q-EULER MEASURE ON Zp김영희, 김태균, 유천성, 최종성장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제1호q-Bernoulli numbers and polynomials related to p-adic invariant integral on z_pAND T. KIM, D. V. Dolgy, J.-J. SEO, S. H. LEE, S. H. Rim장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제3호DEGENERATE BERNOULLI POLYNOMIALS ASSOCIATED WITH p-ADIC INVARIANT INTEGRAL ON ZpT. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제3호Linear functionals on the space of polynomials over CpD. S. Kim, H-I Kwon, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제4호Identities for the Bernoulli and Euler numbers arising from the P-adic integral on Z_p김대산, 김태균, 김현미, 이병제, 이상훈, 임석훈, Dmitry V. Dolgy장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제2호SOME IDENTITIES OF SYMMETRY FOR DAEHEE POLYNOMIALS ARISING FROM p-ADIC INVARIANT INTEGRAL ON Zp김태균, 서종진장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제2호
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