Study of sensitivity of parameters of Bernstein-Stancu operators
Classical Analysis and ODEs
2017-07-25 v1
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.
Keywords
Cite
@article{arxiv.1707.07424,
title = {Study of sensitivity of parameters of Bernstein-Stancu operators},
author = {R. B. Gandhi and Vishnu Narayan Mishra},
journal= {arXiv preprint arXiv:1707.07424},
year = {2017}
}