q-Bernstein polynomials associated with q-stirling numbers and Carlitz's q-Bernoulli numbers

Details q-Bernstein polynomials associated with q-stirling numbers and Carlitz's q-Bernoulli numbers q-Bernstein polynomials associated with q-stirling numbers and Carlitz's q-Bernoulli numbers

2010-09-17

arxiv.org/abs/1009.3439v1

Mathematics

Number Theory

9 pages

Scientific paper

Recently, Kim proposed interesting q-extension of Bernstein polynomials and
positive linear operators on C[0,1] which are different Phillips' q-Bernstein
polynomials. From Kim's q-Bernstein polynomials, we investigate some
interesting properties of q-Bernstein polynomials associated with q-stirling
numbers and Carlitz's q-Bernoulli numbers

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