Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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ON APPROXIMATION PROPERTIES OF BALAZS-SZABADOS OPERATORS AND THEIR KANTOROVICH EXTENSION

  • Agratini, Octavian (Faculty of Mathematics and Compuster Science, ″Babes-Bolyai″University)
  • Published : 2002.05.01

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Abstract

In this paper we deal with a sequence of positive linear operators ${{R_n}}^{[$\beta$]}$ approximating functions on the unbounded interval [0, $\infty$] which were firstly used by K. balazs 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 ${{K_n}}^{[$\beta$]}$ operators, representing the integral generalization in Kantorovich sense of the ${{R_n}}^{[$\beta$]}$.

Keywords

References

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