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Approximation for genuine summation-integral type link operators

Author

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  • Gupta, Vijay
  • Malik, Neha

Abstract

In the present article, we extend the studies on recently introduced sequence of the genuine summation-integral type operators [7]. Here, we establish a link between the genuine operators and the discrete operators. We also establish a quantitative asymptotic formula, a direct estimate in terms of Ditzian–Totik modulus of smoothness and finally, we present the rate of convergence for functions having derivatives of bounded variation.

Suggested Citation

  • Gupta, Vijay & Malik, Neha, 2015. "Approximation for genuine summation-integral type link operators," Applied Mathematics and Computation, Elsevier, vol. 260(C), pages 321-330.
    • Handle: RePEc:eee:apmaco:v:260:y:2015:i:c:p:321-330
    DOI: 10.1016/j.amc.2015.03.077
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    Cited by:

    1. Malik, Neha, 2015. "Some approximation properties for generalized Srivastava– Gupta operators," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 747-758.

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