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Approximation by nonlinear integral operators via summability process

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  • Ismail Aslan
  • Oktay Duman

Abstract

In this paper, we study the approximation properties of nonlinear integral operators of convolution‐type by using summability process. In the approximation, we investigate the convergence with respect to both the variation semi‐norm and the classical supremum norm. We also compute the rate of approximation on some appropriate function classes. At the end of the paper, we construct a specific sequence of nonlinear operators, which verifies the summability process. Some graphical illustrations and numerical computations are also provided.

Suggested Citation

  • Ismail Aslan & Oktay Duman, 2020. "Approximation by nonlinear integral operators via summability process," Mathematische Nachrichten, Wiley Blackwell, vol. 293(3), pages 430-448, March.
    • Handle: RePEc:bla:mathna:v:293:y:2020:i:3:p:430-448
    DOI: 10.1002/mana.201800187
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    Cited by:

    1. Gökçer, Türkan Yeliz & Aslan, İsmail, 2022. "Approximation by Kantorovich-type max-min operators and its applications," Applied Mathematics and Computation, Elsevier, vol. 423(C).

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