Rates of convergence for the iterates of Cesàro operators

DOI10.1090/S0002-9939-09-10127-2zbMath1189.40009MaRDI QIDQ3550575

José A. Adell, Alberto Lekuona

Publication date: 31 March 2010

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

zbMATH Keywords

rate of convergenceCesàro operatorBerry-Esseen theoremiteratesbinomial mixture

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items (3)

Acceleration methods for series: a probabilistic perspective ⋮ Binomial Identities and Moments of Random Variables ⋮ Note on two extensions of the classical formula for sums of powers on arithmetic progressions

Cites Work

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• On the Cheney and Sharma operator
• The spectral radius of averaging operators
• Iterating the Cesàro operators
• Exact values and sharp estimates for the total variation distance between binomial and Poisson distributions
• On Berry-Esseen bounds of summability transforms
• Sharpening of the Upper Bound of the Absolute Constant in the Berry–Esseen Inequality

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