Móricz, Ferenc Theorems relating to statistical harmonic summability and ordinary convergence of slowly decreasing or oscillating sequences. (English) Zbl 1051.40006 Analysis, München 24, No. 2, 127-145 (2004). 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. Reviewer: László Leindler (Szeged) Cited in 2 ReviewsCited in 17 Documents MSC: 40E05 Tauberian theorems 40G05 Cesàro, Euler, Nörlund and Hausdorff methods Keywords:statistically harmonic summable PDFBibTeX XMLCite \textit{F. Móricz}, Analysis, München 24, No. 2, 127--145 (2004; Zbl 1051.40006)