Geodesic
Tauberian- and Convexity Theorems for Certain (N,p,q)-Means
Canadian journal of mathematics, Tome 46 (1994) no. 5, pp. 982-994

Voir la notice de l'article provenant de la source Cambridge University Press

The summability fields of generalized Nörlund means (N,p*α,p), α ∈ Ν, are increasing with a and are contained in that of the corresponding power series method (P,p). Particular cases are the Cesàro- and Euler-means with corresponding power series methods of Abel and Borel. In this paper we generalize a convexity theorem, which is well-known for the Cesàro means and which was recently shown for the Euler means to a large class of generalized Nörlund means.
DOI : 10.4153/CJM-1994-056-6
Mots-clés : 40E05, Power series methods, generalized Nörlund means, convexity theorems, Tauberian theorems 
Kiesel, Rüdiger; Stadtmüller, Ulrich. Tauberian- and Convexity Theorems for Certain (N,p,q)-Means. Canadian journal of mathematics, Tome 46 (1994) no. 5, pp. 982-994. doi: 10.4153/CJM-1994-056-6
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