Nörlund methods H^;-fW, (n+1)'^ generalize harmonia limitation H^. They ahow atvong analogy to thc methoda R* (N^ ) of diaarete cacithmetia R i e s z meana, as regards their relation to the C e 3 ä r o methods C^. Also^ though not oomparable for k ^ 3, R* and H^ ahare the Kroneaker Tauberian oondition. By way of «a « '= "o " S " ' üc < 0 < ß < 3 , the Position of harmonia limitability betueen oonvergenoe and proper Cesäro one ia represented by monotony with reapeot to an inoreaaing parameter, ThuSf AHS Classification: AO G 05
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