q-Bernstein polynomials associated with q-stirling numbers and Carlitz's q-Bernoulli numbers
Number Theory
2010-09-20 v1
Abstract
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
Keywords
Cite
@article{arxiv.1009.3439,
title = {q-Bernstein polynomials associated with q-stirling numbers and Carlitz's q-Bernoulli numbers},
author = {Taekyun Kim and Younghee Kim and Jongsoung Choi},
journal= {arXiv preprint arXiv:1009.3439},
year = {2010}
}
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9 pages