On approximation properties of Baskakov–Schurer–Szász operators

Vishnu Narayan Mishra and Preeti Sharma

Applied Mathematics and Computation, 2016, vol. 281, issue C, 381-393

Abstract: In this paper, a kind of modified Baskakov–Schurer–Szász operators (1.2) is introduced. Approximation properties of theses operators are explored: the rate of convergence in terms of the usual moduli of smoothness is given, the convergence in certain weighted spaces is investigated. Furthermore, we study q-analogues of Baskakov–Schurer–Szász operators and its Stancu generalization. Then the better error estimations for the operators (6.3) by using King type approach is investigated. In the last section the Korovkin type weighted statistical approximation property of operators (9.1) is given.

Keywords: Baskakov-Schurer-Szász operators; q-integer; Rate of convergence; Asymptotic formula; Modulus of continuity (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:281:y:2016:i:c:p:381-393

DOI: 10.1016/j.amc.2016.01.033

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