Toeplitz lemma in geodesic metric space and convergence of inductive means

DOI10.1016/j.jmaa.2018.05.004zbMath1401.40002OpenAlexW2802221832WikidataQ124809509 ScholiaQ124809509MaRDI QIDQ1650477

Un Cig Ji, Byoung Jin Choi

Publication date: 4 July 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.05.004

zbMATH Keywords

geodesic metric spaceCesàro theoremHansen's inductive meanToeplitz lemmaweighted inductive means

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Special methods of summability (40G99) Limit theorems in probability theory (60F99)

Related Items (1)

Precise asymptotics of weighted sequences and their applications

Cites Work

• Unnamed Item
• Unnamed Item
• Regular operator mappings and multivariate geometric means
• Convexity of the geodesic distance on spaces of positive operators
• Metric convexity of symmetric cones
• Higher order multi-dimensional extensions of Cesàro theorem
• Karcher means and Karcher equations of positive definite operators
• On the Toeplitz Lemma, Convergence in Probability, and Mean Convergence
• Toeplitz lemma, complete convergence, and complete moment convergence
• Law of large numbers for weighted inductive means in a Hadamard space
• Weighted deterministic walks for the least squares mean on Hadamard spaces
• On Certain Contraction Mappings in a Partially Ordered Vector Space
• A fixed point mean approximation to the Cartan barycenter of positive definite matrices

This page was built for publication: Toeplitz lemma in geodesic metric space and convergence of inductive means