Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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A NOTE ON THE WEIGHTED q-BERNOULLI NUMBERS AND THE WEIGHTED q-BERNSTEIN POLYNOMIALS

  • Dolgy, D.V. (Institute of Mathematics and Computer Sciences, Far Eastern Federal University) ;
  • Kim, T. (Division of General Education-Mathematics, Kwangwoon University)
  • Received : 2011.09.05
  • Accepted : 2011.09.08
  • Published : 2011.12.25
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Abstract

Recently, the modified q-Bernoulli numbers and polynomials with weight ${\alpha}$ are introduced in [3]: In this paper we give some interesting p-adic integral representation on $\mathbb{Z}_p$ of the weighted q-Bernstein polynomials related to the modified q-Bernoulli numbers and polynomials with weight ${\alpha}$. From those integral representation on $\mathbb{Z}_p$ of the weighted q-Bernstein polynomials, we can derive some identities on the modified q-Bernoulli numbers and polynomials with weight ${\alpha}$.

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References

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