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Construction a new generating function of Bernstein type polynomials
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DOI：10.1016/j.amc.2011.01.074.png)
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摘要
En 中文
Main purpose of this paper is to reconstruct generating function of the Bernstein type polynomials. Some properties of this generating functions are given. By applying this generating function, not only derivative of these polynomials but also recurrence relations of these polynomials are found. Interpolation function of these polynomials is also constructed by Mellin transformation. This function interpolates these polynomials at negative integers which are given explicitly. Moreover, relations between these polynomials, the Stirling numbers of the second kind and Bernoulli polynomials of higher order are given. Furthermore some remarks associated with the Bezier curves are given. (C) 2011 Elsevier Inc. All rights reserved.
Keyword:
Generating function
Bernstein polynomials
Bernoulli polynomials of higher-order
Stirling numbers of the second kind
Mellin transformation
Gamma function
Beta function
Bezier curve
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期刊
IF:
3.4
论文数:
2.3W
被引数:
3.3W
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