On approximation properties of generalized Kantorovich-type sampling operators

• Olga Orlova ^[1] ; Gert Tamberg ^[1]
  1. [1] Tallinn University of Technology

     Tallinn University of Technology

     Kesklinna linnaosa, Estonia

     
• Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 201, Nº 1 (January 2016), 2016, págs. 73-86
• Idioma: inglés
• DOI: 10.1016/j.jat.2015.10.001
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• Resumen

  • In this paper, we generalize the notion of Kantorovich-type sampling operators using the Fejér-type singular integral. By means of these operators we are able to reconstruct signals (functions) which are not necessarily continuous. Moreover, our generalization allows us to take the measurement error into account. The goal of this paper is to estimate the rate of approximation by the above operators via high-order modulus of smoothness.