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arXiv · 1707.07424

Study of sensitivity of parameters of Bernstein-Stancu operators

R. B. Gandhi·Vishnu Narayan Mishra
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Abstract

This paper is aimed at studying sensitivity of parameters \alpha and \beta appearing in the operators introduced by D.D. Stancu [11] in 1969. Results are established on the behavior the nodes used in Bernstein-Stancu polynomials and the nodes used in Bernstein polynomials and graphical presentations of them are generated. Alternate proof of uniform convergence of Bernstein-Stancu operators and an upper bound estimation are derived. It is also established that the parameters \alpha and \beta in Bernstein-Stancu polynomials can be used to get better approximation at a point x = (\alpha)/(\beta) in [0,1] to the Bernstein polynomials.

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R. B. Gandhi, Vishnu Narayan Mishra. 2017-07-24. Study of sensitivity of parameters of Bernstein-Stancu operators. https://arxiv.org/abs/1707.07424

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