Journal of Inequalities and Applications (Jan 2011)

Some new identities on the twisted carlitz's <b> <it>q</it> </b>-bernoulli numbers and <b> <it>q</it> </b>-bernstein polynomials

  • Kim Taekyun,
  • Kim Young-Hee,
  • Lee Byungje,
  • Jang Lee-Chae

Journal volume & issue
Vol. 2011, no. 1
p. 52

Abstract

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Abstract In this paper, we consider the twisted Carlitz's q-Bernoulli numbers using p-adic q-integral on ℤ p . From the construction of the twisted Carlitz's q-Bernoulli numbers, we investigate some properties for the twisted Carlitz's q-Bernoulli numbers. Finally, we give some relations between the twisted Carlitz's q-Bernoulli numbers and q-Bernstein polynomials.

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