General Tauberian conditions for weighted mean methods of summability
Copyright policy )General Tauberian conditions for weighted mean methods of summability
Summary: In this paper we recover convergence of a complex sequence \((u_n)\) out of its summability by weighted means under certain supplementary conditions that control the oscillatory behavior of \((u_n)\). As corollaries, we obtain classical Hardy-type Tauberian conditions for various weighted mean methods.
weighted mean methods of summability, Tauberian theorems, Cesàro, Euler, Nörlund and Hausdorff methods, Convergence and divergence of series and sequences, Tauberian condition, regularly varying sequences, slowly oscillating sequences
weighted mean methods of summability, Tauberian theorems, Cesàro, Euler, Nörlund and Hausdorff methods, Convergence and divergence of series and sequences, Tauberian condition, regularly varying sequences, slowly oscillating sequences
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