On approximation properties of Balázs-Szabados operators and their Kantorovich extension

  • Authors:

  • Octavian Agratini

  • Affiliations:

  • Faculty of Mathematics and Computer Science, "Babes-Bolyai" University, str. Kogalniceanu, 1, 3400 Cluj-Napoca, Romania

  • Venue:
  • The Korean Journal of Computational & Applied Mathematics
  • Year:
  • 2002

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Abstract

In this paper we deal with a sequence of positive linear operators Rn[β] approximating functions on the unbounded interval [0, ∞) which were firstly used by K. Balázs and J. Szabados. We give pointwise estimates in the framework of polynomial weighted function spaces. Also we establish a Voronovskaja type theorem in the same weighted spaces for Kn[β] operators, representing the integral generalization in Kantorovich sense of the Rn[β].