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On the (C, α)-means with respect to the Walsh system

O (C, α)-средних для рядов по системе Уолша

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Abstract

In our main result we prove strong convergence theorems for Cesàro means (C, α) on the Hardy spaces H 1/(1+α), where 0 < α < 1.

абстрактный

Основной результат работы состоит в доказательстве теорем сильной сходимости для последовательностей (C, α)-средних Чезаро для рядов по системе Уолша в пространстранствах Харди H 1/(1+α)­, где 0 < α < 1.

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Authors and Affiliations

  1. Institute of Mathematics and Computer Sciences, College of Nyíregyháza, P.O. Box 166, Nyíregyháza, H-4400, Hungary

    I. Blahota

  2. Department of Mathematics, Faculty of Exact and Natural Sciences, Tbilisi State University, Chavchavadze str. 1, Tbilisi, 0128, Georgia

    G. Tephnadze

  3. Department of Engineering Sciences and Mathematics, Luleå University of Technology, SE-971 87, Luleå, Sweden

    G. Tephnadze

Authors
  1. I. Blahota
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  2. G. Tephnadze
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Correspondence to I. Blahota.

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Blahota, I., Tephnadze, G. On the (C, α)-means with respect to the Walsh system. Anal Math 40, 161–174 (2014). https://doi.org/10.1007/s10476-014-0301-9

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  • DOI: https://doi.org/10.1007/s10476-014-0301-9

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