Statistical approximation for new positive linear operators of Lagrange type

M. Mursaleen, Faisal Khan and Asif Khan

Applied Mathematics and Computation, 2014, vol. 232, issue C, 548-558

Abstract: In this paper, we prove some approximation results in statistical sense and establish some direct theorems for the positive linear operators constructed by the means of Lagrange type polynomials. We compute error estimation by using modulus of continuity with the help of Matlab and give its algorithm. Furthermore, we show graphically the convergence of our operators to various functions.

Keywords: Lagrange polynomial; A-statistical convergence; Positive linear operators; Modulus of continuity; Error estimate; Peetre’s K-functional; Lipschitz class (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:232:y:2014:i:c:p:548-558

DOI: 10.1016/j.amc.2014.01.093

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