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Research Article

A Positive Linear Operator Using Probabilistic Approach

Ashok Sahai , Shanaz Wahid and Arvind Sinha
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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


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