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On approximation properties of Baskakov–Schurer–Szász operators

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  • Mishra, Vishnu Narayan
  • Sharma, Preeti

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.

Suggested Citation

  • Mishra, Vishnu Narayan & Sharma, Preeti, 2016. "On approximation properties of Baskakov–Schurer–Szász operators," Applied Mathematics and Computation, Elsevier, vol. 281(C), pages 381-393.
    • Handle: RePEc:eee:apmaco:v:281:y:2016:i:c:p:381-393
    DOI: 10.1016/j.amc.2016.01.033
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