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ON THE q-EULER NUMBERS AND WEIGHTED q-BERNSTEIN POLYNOMIALS

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초록

In this paper, we study some relations between weighted q-Bernstein polynomials and q-Euler numbers by using the fermionic p-adic q-integral on Zp

Abstract

In this paper, we study some relations between weighted q-Bernstein polynomials and q-Euler numbers by using the fermionic p-adic q-integral on Zp

참고문헌 (12)

  1. T. Kim, "A study on the q-Euler numbers and the fermionic q-integrals of the product of several type q-Bernstein polynomials on Zp", ~
  2. T.Kim, "A note on q-Bernoulli numbers and q-Bernstein polynomials", Ars Comb
  3. T. Kim, "A note on q-Bernstein polynomials", Russ. J. Math. Phys
  4. 김태균, "A NEW APPROACH OF q-EULER NUMBERS AND POLYNOMIALS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 14(1), pp.7~14 (2011), 장전수학회
  5. T. Kim, "Note on the Euler q-zeta functions", J. Number Theory, 129, pp.1798~1804 (2009)
  6. T.Kim, "Barnes type multiple q-zeta function and q-Euler polynomials", J. Phys. A: Math. Theor, 43(25), pp.255201~255211 (2010)
  7. T. Kim, "Some identities on the q-Euler polynomials of higher order and q-Stirling numbers by the fermionic p-adic integrals on Zp", Russ. J. Math. Phys, 16, pp.484~491 (2009)
  8. A. Bayad, "q-extension of Bernstein polyno-mials with weighted (a,B)", J. Comput. Anal. Appl
  9. L. Carlitz, "q-Bernstein and Eulerian numbers", Trans. Amer. Math. Soc, 76, pp.332~350 (1954)
  10. E. Deeba, "Stirling's series and Bernoulli numbers", Amer. Math. Monthly, 98, pp.423~426 (1991)
  11. I. N.. Cangul, "ON THE HIGHER-ORDER w-q-GENOCCHI NUMBERS", Advanced Studies in Contemporary Mathematics, 19(1), pp.39~57 (2009), 장전수학회
  12. B.A. Kupershmidt, "Reflection symmetrics of q-Bernstein polynomials", J. Nonlinear Math. Phys, 12, pp.412~422 (2005)

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