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Zbl 1051.40006
Móricz, Ferenc
Theorems relating to statistical harmonic summability and ordinary convergence of slowly decreasing or oscillating sequences. (English)
[J] Analysis, München 24, No. 2, 127-145 (2004). ISSN 0174-4747

The author proves two interesting theorems relating to statistical harmonic summability and ordinary convergence of slowly decreasing or oscillating sequences. E.g. it is proved that if a slowly decreasing sequence $\{x_k\}$ of real numbers is statistically harmonic summable then it is convergent in the ordinary sense. Several new lemmas having interest in themselves are used in the proofs.
[László Leindler (Szeged)]

MSC 2000:: *40E05 Tauberian theorems, general
40G05 Traditional summability methods

Keywords: statistically harmonic summable

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