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Bernstein polynomials and Bernoulli numbers

유천성
장전수학회 (Jangjeon Mathematical Society)|2011.07|Advanced Studies in Contemporary Mathematics|제21권 제3호|pp. 313-319

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키워드

Bernstein polynomialsBernoulli polynomials
주제분류수학

초록

Recently, several authors have studied Bernstein polynomials. In this paper we consider some identities related to Bernoulli numbers and polynomials.

Abstract

Recently, several authors have studied Bernstein polynomials. In this paper we consider some identities related to Bernoulli numbers and polynomials.

참고문헌 (13)

  1. Abdelmejid Bayad, "Modular properties of elliptic Bernoulli and Euler functions", Advanced Studies in Contemporary Mathematics, 20(3), pp.389~401 (2010), 장전수학회
  2. I. N.. Cangul, "ON THE HIGHER-ORDER w-q-GENOCCHI NUMBERS", Advanced Studies in Contemporary Mathematics, 19(1), pp.39~57 (2009), 장전수학회
  3. T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys, 9, pp.288~299 (2002)
  4. T. Kim, "q-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients", Russ. J. Math. Phys, 15, pp.51~57 (2008)
  5. 김태균, "SOME IDENTITIES ON THE q-BERNSTEIN POLYNOMIALS, q-STIRLING NUMBERS AND q-BERNOULLI NUMBERS", Advanced Studies in Contemporary Mathematics, 20(3), pp.335~341 (2010), 장전수학회
  6. T. Kim, "A note on q-Bernstein polynomials", Russ. J. Math. phys, 18, pp.41~50 (2011)
  7. T. Kim, "Barnes type multiple q-zeta function and q-Euler polynomials", J. Phys. A: Math. Theor, 43, pp.255201~255211 (2010)
  8. T.Kim, "A note on the modified q-Bernstein polynomials", Discrete Dynamics in Nature and Society, pp.12~ (2010)
  9. H. Ozden, "Remarks on q-Bernoulli numbers associated with Daehee numbers", Advanced Studies in Contemporary Mathematics, 18(1), pp.41~48 (2009), 장전수학회
  10. 유천성, "A note on the weighted q-Euler numbers and polynomials", Advanced Studies in Contemporary Mathematics, 21(1), pp.47~54 (2011), 장전수학회
  11. 유천성, "On the generalized Barnes type multiple q-Euler polynomials twisted by ramified roots of unity", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 13(2), pp.255~263 (2010), 장전수학회
  12. S.-H. Rim, "On multiple interpolation function of the q-Genocchi polynomials", J. Inequal. Appl, pp.13~ (2010)
  13. "Bernstein polynomials,On-Line:Geometric Modelling Notes,13 pages"[URL]

관련 논문AI추천

SOME IDENTITIES ON THE q-BERNSTEIN POLYNOMIALS, q-STIRLING NUMBERS AND q-BERNOULLI NUMBERS김영희, 김태균, 최종성장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제3호Identities involving Bernoulli and Euler polynomials arising from Chebyshev polynomials김대산, D. V. Dolgy, S. H. Rim, T. Kim장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제4호A new identities on the q-Bernoulli numbers and polynomialsC. S. Ryoo, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제2호Some identities on the twisted (h, q)-Bernoulli numbers and polynomialsB. Lee, C. S. Ryoo, T. Kim, Y. H. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제3호A note on Eulerian polynomials associated with Bernoulli and Euler numbers and polynomials김대산, 김영희, D. V. Dolgy, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제3호A note on q-genocchi numbers and Bernstein polynomialsT. Kim, Y. H. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제3호

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