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Weighted Approximation by Rational Operators

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Abstract

The author constructs rational operators for the weighted uniform approximation of functions with endpoints singularities by algebraic weights in [−1,1]. New direct and converse results not possible by polynomials are proved.

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Authors and Affiliations

  1. Dipartimento di Matematica, Istituto G. Castelnuovo, Università di Roma “La Sapienza”, P.le Aldo Moro 2, 1-00185, Roma, Italy

    Biancamaria Della Vecchia

  2. Istituto per le Applicazioni del Calcolo ‘Mauro Picone’ CNR - Sezione di Napoli, Via Pietro Castellino 111, I-80131, Napoli, Italy

    Biancamaria Della Vecchia

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  1. Biancamaria Della Vecchia
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Correspondence to Biancamaria Della Vecchia.

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Dedicated to Professor Péter Vértesi on the occasion of his 60th birthday

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Vecchia, B.D. Weighted Approximation by Rational Operators. Results. Math. 43, 79–87 (2003). https://doi.org/10.1007/BF03322723

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  • DOI: https://doi.org/10.1007/BF03322723

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