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Statistical approximation for new positive linear operators of Lagrange type

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  • Mursaleen, M.
  • Khan, Faisal
  • Khan, Asif

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.

Suggested Citation

  • Mursaleen, M. & Khan, Faisal & Khan, Asif, 2014. "Statistical approximation for new positive linear operators of Lagrange type," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 548-558.
    • Handle: RePEc:eee:apmaco:v:232:y:2014:i:c:p:548-558
    DOI: 10.1016/j.amc.2014.01.093
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    References listed on IDEAS

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    1. M. Mursaleen & A. Kiliçman, 2013. "Korovkin Second Theorem via -Statistical -Summability," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, February.
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    Cited by:

    1. Mursaleen, M. & Ansari, Khursheed J. & Khan, Asif, 2015. "On (p, q)-analogue of Bernstein operators," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 874-882.
    2. Mursaleen, M. & Ansari, Khursheed J. & Khan, Asif, 2015. "Some approximation results by (p, q)-analogue of Bernstein–Stancu operators," Applied Mathematics and Computation, Elsevier, vol. 264(C), pages 392-402.

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