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Cesaro Summability and Marchaud Inequality

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Constructive Approximation Aims and scope

Abstract

For Fourier expansions it will be shown that sharp Marchaud-type inequalities follow from the positivity of the Cesaro summability of some order. Some results of sharp Marchaud-type will be derived using this method when other known methods cannot be used.

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Authors and Affiliations

  1. Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, T6G 2G1, Canada

    F. Dai & Z. Ditzian

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  1. F. Dai
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  2. Z. Ditzian
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Dai, F., Ditzian, Z. Cesaro Summability and Marchaud Inequality. Constr Approx 25, 73–88 (2007). https://doi.org/10.1007/s00365-005-0623-8

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  • DOI: https://doi.org/10.1007/s00365-005-0623-8

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