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On the mean summability by Cesaro method of Fourier trigonometric series in two-weighted setting

Journal of Inequalities and Applications volume 2006, Article number: 41837 (2006) Cite this article

Abstract

The Cesaro summability of trigonometric Fourier series is investigated in the weighted Lebesgue spaces in a two-weight case, for one and two dimensions. These results are applied to the prove of two-weighted Bernstein's inequalities for trigonometric polynomials of one and two variables.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Art and Science, Balikesir University, Balikesir, 10145, Turkey

    A. Guven

  2. International Black Sea University, Tbilisi, 0131, Georgia

    V. Kokilashvili

Authors
  1. A. Guven
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  2. V. Kokilashvili
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Correspondence to A. Guven.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Guven, A., Kokilashvili, V. On the mean summability by Cesaro method of Fourier trigonometric series in two-weighted setting. J Inequal Appl 2006, 41837 (2006). https://doi.org/10.1155/JIA/2006/41837

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  • DOI: https://doi.org/10.1155/JIA/2006/41837

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