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Jackson-type Theorems on a Finite Interval with Weights Having Non-symmetric Inner Singularities

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Abstract

We consider Jackson-type theorems for weighted polynomial approximation when the weight has certain type of zeros inside and/or at the end-points of the interval. The approximating polynomials are constructed from truncated convolution integrals.

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Reference

  1. Z. Ditzian and V. Totik, Moduli of Smoothness, Springer Verlag (New York, 1987).

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Authors and Affiliations

  1. Dipartimento di Matematica, Universita della Basilicata, via N. Sauro 85, 85100, Potenza, Italy

    G. Mastroianni

  2. Mathematical Institute of the Hungarian Academy of Sciences, H-1053, Budapest, Reáltanoda U. 13–15

    J. Szabados

Authors
  1. G. Mastroianni
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  2. J. Szabados
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Mastroianni, G., Szabados, J. Jackson-type Theorems on a Finite Interval with Weights Having Non-symmetric Inner Singularities. Acta Mathematica Hungarica 83, 85–95 (1999). https://doi.org/10.1023/A:1006663503557

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  • DOI: https://doi.org/10.1023/A:1006663503557

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