On Scales of Summability Methods
Copyright policy )On Scales of Summability Methods
AbstractIn this paper we consider generalized Nörlund methods (Nαp), α > ‐1, power series methods (Jp) and the iteration product of two such methods. A particular case is that of the Cesaro means (Cα) with corresponding power series method (A), i.e., Abel's method. We obtain generalizations of inclusion, and tauberian and convexity theorems which are well‐known for the Cesàro‐Abel case, for a rich class of methods of the above type.
- University of Louisiana at Monroe United States
- University of Ulm Germany
Abel, Borel and power series methods, power series methods, Tauberian theorems, Cesàro, Euler, Nörlund and Hausdorff methods, summability, Abel's method, Wirtschaftswissenschaften, Tauberian theorem, Nörlund methods, Cesàro means, convexity theorems
Abel, Borel and power series methods, power series methods, Tauberian theorems, Cesàro, Euler, Nörlund and Hausdorff methods, summability, Abel's method, Wirtschaftswissenschaften, Tauberian theorem, Nörlund methods, Cesàro means, convexity theorems
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