Improved approximation and error estimations by King type (p, q)-Szász-Mirakjan Kantorovich operators

M. Mursaleen, Ambreen Naaz and Asif Khan

Applied Mathematics and Computation, 2019, vol. 348, issue C, 175-185

Abstract: In the present paper, two different modifications are proposed for (p, q)-Szász-Mirakjan-Kantorovich operators which preserve some test functions. Some approximation results with the help of better-known Korovkin’s theorem and weighted Korovkin’s theorem for these operators are presented. Furthermore, convergence properties in terms of modulus of continuity and class of Lipschitz functions are studied. It has been shown that for a given absolute error bound, King type modified (p, q)-Szász-Mirakjan-Kantorovich operators require lesser value of m and elapsed time within some subintervals. Further for comparisons, some graphics and error estimation tables are presented using MATLAB(R2018a).

Keywords: (p, q)-calculus; (p, q)-Szász-Mirakjan-Kantorovich operators; Modulus of continuity; Direct approximation; Improved approximation; Error estimates; Elapsed time (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:348:y:2019:i:c:p:175-185

DOI: 10.1016/j.amc.2018.11.044

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