Quantitative estimates for sampling type operators with respect to the Jordan variation

  • Laura Angeloni

    Università degli Studi di Perugia, Italy
  • Danilo Costarelli

    Università degli Studi di Perugia, Italy
  • Gianluca Vinti

    Università degli Studi di Perugia, Italy
Quantitative estimates for sampling type operators with respect to the Jordan variation cover

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Abstract

In this paper, we study the order of approximation with respect to the Jordan variation for the generalized and the Kantorovich sampling series, based upon averaged type kernels. In particular, we establish some quantitative estimates for the above operators. For the latter purpose, we introduce a suitable modulus of smoothness in the space of absolutely continuous functions on the whole real line.

Cite this article

Laura Angeloni, Danilo Costarelli, Gianluca Vinti, Quantitative estimates for sampling type operators with respect to the Jordan variation. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 31 (2020), no. 2, pp. 269–284

DOI 10.4171/RLM/890