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University of Ulm, Faculty of Mathematics and Economics
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Tauberian- and Convexity theorems for certain (N,p,q)-means
Department of Stochastics
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General Information
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| Author: |
Rüdiger Kiesel and Ulrich Stadtmüller |
| Appeared in: |
Canadian Journal of Mathematics (1994), 46(5), 982-994 |
| Contact: |
kiesel@mathematik.uni-ulm.de |
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Abstract
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The summability fields of generalized Nörlund means
 ,
are increasing with
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.
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