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On the absolute Riesz summability of orthogonal series

Об абсолютной суммир уемости по Риссу орто гональных рядов

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Abstract

Цель работы - получить некоторые теоремы об абсолютной суммируемости по Рис су ортогональных рядов из теоремы, эквивален тной одному результату Морица [4]. Кр оме того, устанавливаетс я точность некоторых достаточных условий суммируемос ти ортогональных рядов.

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Authors and Affiliations

  1. Department of Mathematics Faculty of Engineering, Shinshu University, 380, Nagano, Japan

    Yasuo Okuyama

  2. Mathematical Institute, Tôhoku University, 980, Sendai, Japan

    Tamotsu Tsuchikura

Authors
  1. Yasuo Okuyama
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  2. Tamotsu Tsuchikura
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Okuyama, Y., Tsuchikura, T. On the absolute Riesz summability of orthogonal series. Analysis Mathematica 7, 199–208 (1981). https://doi.org/10.1007/BF01908522

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