Riesz and Valiron means and fractional moments

DOI10.1017/S0305004100064033zbMath0585.40006MaRDI QIDQ3710950

Gérald Tenenbaum, Nicholas H. Bingham

Publication date: 1986

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

Riesz meansTauberian theoremsValiron means

Mathematics Subject Classification ID

Special methods of summability (40G99) Tauberian theorems (40E05)

Related Items

Complete convergence and Cesàro summation for i.i.d. random variables ⋮ Complete convergence and almost sure convergence of weighted sums of random variables ⋮ Riesz means and self-neglecting functions ⋮ Erdös-Rényi-Shepp laws and weighted sums of independent identically distributed random variables ⋮ Summability methods and negatively associated random variables ⋮ A note on moments of the maximum of Cesàro summation ⋮ Tauberian Korevaar ⋮ Strong limit theorems for weighted sums of negatively associated random variables ⋮ On strong limit theorems concerning delayed sums of a random sequence ⋮ Logarithmic moving averages ⋮ A Baum-Katz theorem for random variables under exponential moment conditions ⋮ Hardy, Littlewood and probability ⋮ An almost sure limit theorem for moving averages of random variables between the strong law of large numbers and the Erdös-Rényi law ⋮ General Nörlund transforms and power series methods ⋮ On Valiron means of \(B\)-valued random variables

Cites Work

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• Note on the “Second Theorem of Consistency” for Riesz Summability