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From the book of Boss "Classical and modern methods in summability":

"The class of Hausdorff methods includes the Hölder, Cesaro and Euler methods. A large number of other matrix methods which play an essential role in summability are Hausdorff methods too."

I wonder if there is any different known example of Hausdorff methods? For example, circle methods such as Meyer-Konig or Taylor is an Hausdorff method?

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    $\begingroup$ Could you clarify your question? You asked "I wonder if there is any well-known example of Hausdorff methods?" You asked this AFTER you said that Hausdorff methods include Hölder, Cesaro, and Euler methods --- I consider "Hölder, Cesaro and Euler methods" as fairly well known, and thus I would think you answered your question before you asked it. So I'm guessing you meant to ask something different. $\endgroup$
    – Dave L Renfro
    Commented Feb 7, 2018 at 14:54
  • $\begingroup$ Yes I meant different examples. $\endgroup$
    – Raio
    Commented Feb 7, 2018 at 14:57
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    $\begingroup$ Perhaps what you want is a list of many examples (and non-examples) that you can use to quickly find out whether various summation methods are Hausdorff methods of summation? (I don't know of such a list, or even much about summability methods.) $\endgroup$
    – Dave L Renfro
    Commented Feb 7, 2018 at 15:38

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