Ashok Sahai
Department of Mathematics and Computer Science,
The University of the West Indies, St. Augustine, Trinidad and Tobago
Shanaz Wahid
Department of Mathematics and Computer Science,
The University of the West Indies, St. Augustine, Trinidad and Tobago
Arvind Sinha
PB Systems Inc., 230 Commerce, Suite 180, Irvine, CA-92604
ABSTRACT
A positive linear operator, modifying the well-known Bernstein Polynomial (Positive Linear Operator)`s weight function has been proposed. It uses a new weight functions derived using a probabilistic approach. The resultant polynomial approximation operator has been studied analytically for its convergence rate, as also empirically using a simulation study to compare it with the Bernstein`s polynomial approximation operator. The approximating polynomials have been computed for certain selected functions and with different number of node points in the interval of approximation C [0, 1], without any loss of generality. It has been observed that the proposed polynomial approximation formula produces significantly better approximating polynomials.
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How to cite this article
Ashok Sahai, Shanaz Wahid and Arvind Sinha, 2006. A Positive Linear Operator Using Probabilistic Approach. Journal of Applied Sciences, 6: 2662-2665.
DOI: 10.3923/jas.2006.2662.2665
URL: https://scialert.net/abstract/?doi=jas.2006.2662.2665
DOI: 10.3923/jas.2006.2662.2665
URL: https://scialert.net/abstract/?doi=jas.2006.2662.2665