On the Method of Approximation by Families of Linear Polynomial Operators

descriptionPublicationkeyboard_double_arrow_right Article 30 Sep 2000Publisher:European Mathematical Society - EMS - Publishing House GmbHJournal:Zeitschrift für Analysis und ihre Anwendungen, volume 19, pages 677-693 (issn: 0232-2064, eissn: 1661-4534,

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Authors: Burinska, Z.; Runovski, K.; Schmeisser, H.-J.;

doi: 10.4171/zaa/974

On the Method of Approximation by Families of Linear Polynomial Operators

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Abstract

It is shown that best approximation by trigonometric polynomials is achieved in average by families of linear polynomial operators in the L_p -metric for all p, 0 < p < \infty . This is compared with approximation by Fourier means and interpolation means which is restricted to 1 ≤ p ≤ \infty and p = \infty , respectively.

Related Organizations

Friedrich Schiller University Jena
Germany

Keywords

best approximation by trigonometric polynomials, Trigonometric approximation, Trigonometric interpolation, Fourier means, interpolation means, families of linear polynomial operators

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