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On the k-dimensional generalization of q-Bernstein polynomials

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Recently, the q-Bernstein polynomials are constructed in [5]. In this paper, we propose the k-dimensional generalizations of the q-Bernstein polynomi-als.

Abstract

Recently, the q-Bernstein polynomials are constructed in [5]. In this paper, we propose the k-dimensional generalizations of the q-Bernstein polynomi-als.

참고문헌 (12)

  1. M. Acikgoz, "On the generating function of the Bernstein polynomials", the 8th International Conference of Numerical Analysis and Applied Mathematics (2010)
  2. M. Can, "Twisted Dedekind type sums associated with Barnes' type multiple Frobenius-Euler l-functions", Advanced Studies in Contemporary Mathematics, 18(2), pp.135~160 (2009), 장전수학회
  3. I. N.. Cangul, "ON THE HIGHER-ORDER w-q-GENOCCHI NUMBERS", Advanced Studies in Contemporary Mathematics, 19(1), pp.39~57 (2009), 장전수학회
  4. M. Cenkci, "Further remarks on multiple p -adic q-L-function of two variables", Advanced Studies in Contemporary Mathematics, 14(1), pp.49~68 (2007), 장전수학회
  5. T. Kim, "A note on q Bernstein polynomials", Russian Journal of Mathematical Physics, 18(1) (2011)
  6. T. Kim, "Barnes type multiple q zeta function and q Euler polynomials", J. Physics A: Math. Theor, 43(255201), pp.11~ (2010)
  7. 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(4), pp.484~491 (2009)
  8. T. Kim, "q Bernstein polynomials associated with q Stirling numbers and Carlitz's q Bernoulli numbers", Abstract and Applied Analysis, pp.11~ (2010)
  9. T. Kim, "On the fermionic p adic integral representation of Bernstein polynomials associated with Euler numbers and polynomials", Journal of Inequalities and Applications, pp.12~ (2010)
  10. T. Kim, "A note on the modi ed q Berstein polynomials", Discrete Dynamics in Nature and Society, pp.12~ (2010)
  11. G. G. Lorentz, "Bernstein polynomials" (1986), International Standard Book
  12. Y. Simsek, "A new generating function of (q-)Berstein type poly nomials and their interpolation function", Abstract and Applied Analysis, pp.12~ (2010)

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